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Finding the Fourth Proportional to 242,020.96, 363,031.52 and 99,864.16

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Solution

The fourth proportional to 242,020.96, 363,031.52 and 99,864.16 is: 149,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,020.96 : 363,031.52 = 99,864.16 : x
  2. Step 2: Convert to fraction form
    242,020.96/363,031.52 = 99,864.16/x
  3. Step 3: Cross multiply
    242,020.96x = 363,031.52 × 99,864.16
  4. Step 4: Simplify right side
    242,020.96x = 36,253,837,798.32
  5. Step 5: Solve for x
    x = 36,253,837,798.32/242,020.96
  6. Step 6: Final answer
    x = 149,796.27

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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.