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Finding the Fourth Proportional to 259,394.59, 357,988.17 and 157,446.17

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Solution

The fourth proportional to 259,394.59, 357,988.17 and 157,446.17 is: 217,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,394.59 : 357,988.17 = 157,446.17 : x
  2. Step 2: Convert to fraction form
    259,394.59/357,988.17 = 157,446.17/x
  3. Step 3: Cross multiply
    259,394.59x = 357,988.17 × 157,446.17
  4. Step 4: Simplify right side
    259,394.59x = 56,363,866,271.81
  5. Step 5: Solve for x
    x = 56,363,866,271.81/259,394.59
  6. Step 6: Final answer
    x = 217,290.06

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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.