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Finding the Fourth Proportional to 257,417.84, 354,842.84 and 180,721.76

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Solution

The fourth proportional to 257,417.84, 354,842.84 and 180,721.76 is: 249,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,417.84 : 354,842.84 = 180,721.76 : x
  2. Step 2: Convert to fraction form
    257,417.84/354,842.84 = 180,721.76/x
  3. Step 3: Cross multiply
    257,417.84x = 354,842.84 × 180,721.76
  4. Step 4: Simplify right side
    257,417.84x = 64,127,822,568.20
  5. Step 5: Solve for x
    x = 64,127,822,568.20/257,417.84
  6. Step 6: Final answer
    x = 249,119.57

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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.