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Finding the Fourth Proportional to 102,006.70, 153,010.05 and 42,822.70

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Solution

The fourth proportional to 102,006.70, 153,010.05 and 42,822.70 is: 64,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.70 : 153,010.05 = 42,822.70 : x
  2. Step 2: Convert to fraction form
    102,006.70/153,010.05 = 42,822.70/x
  3. Step 3: Cross multiply
    102,006.70x = 153,010.05 × 42,822.70
  4. Step 4: Simplify right side
    102,006.70x = 6,552,303,468.14
  5. Step 5: Solve for x
    x = 6,552,303,468.14/102,006.70
  6. Step 6: Final answer
    x = 64,234.05

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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.