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Finding the Fourth Proportional to 442,167.90, 663,301.28 and 157,924.32

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Solution

The fourth proportional to 442,167.90, 663,301.28 and 157,924.32 is: 236,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,167.90 : 663,301.28 = 157,924.32 : x
  2. Step 2: Convert to fraction form
    442,167.90/663,301.28 = 157,924.32/x
  3. Step 3: Cross multiply
    442,167.90x = 663,301.28 × 157,924.32
  4. Step 4: Simplify right side
    442,167.90x = 104,751,403,599.13
  5. Step 5: Solve for x
    x = 104,751,403,599.13/442,167.90
  6. Step 6: Final answer
    x = 236,904.13

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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.