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Finding the Fourth Proportional to 230,670.98, 318,456.74 and 150,058.16

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Solution

The fourth proportional to 230,670.98, 318,456.74 and 150,058.16 is: 207,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,670.98 : 318,456.74 = 150,058.16 : x
  2. Step 2: Convert to fraction form
    230,670.98/318,456.74 = 150,058.16/x
  3. Step 3: Cross multiply
    230,670.98x = 318,456.74 × 150,058.16
  4. Step 4: Simplify right side
    230,670.98x = 47,787,032,444.00
  5. Step 5: Solve for x
    x = 47,787,032,444.00/230,670.98
  6. Step 6: Final answer
    x = 207,165.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.