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Finding the Fourth Proportional to 230,296.59, 345,108.90 and 102,058.20

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Solution

The fourth proportional to 230,296.59, 345,108.90 and 102,058.20 is: 152,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,296.59 : 345,108.90 = 102,058.20 : x
  2. Step 2: Convert to fraction form
    230,296.59/345,108.90 = 102,058.20/x
  3. Step 3: Cross multiply
    230,296.59x = 345,108.90 × 102,058.20
  4. Step 4: Simplify right side
    230,296.59x = 35,221,193,137.98
  5. Step 5: Solve for x
    x = 35,221,193,137.98/230,296.59
  6. Step 6: Final answer
    x = 152,938.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.