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Finding the Fourth Proportional to 259,898.68, 358,663.17 and 152,470.54

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Solution

The fourth proportional to 259,898.68, 358,663.17 and 152,470.54 is: 210,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,898.68 : 358,663.17 = 152,470.54 : x
  2. Step 2: Convert to fraction form
    259,898.68/358,663.17 = 152,470.54/x
  3. Step 3: Cross multiply
    259,898.68x = 358,663.17 × 152,470.54
  4. Step 4: Simplify right side
    259,898.68x = 54,685,567,208.01
  5. Step 5: Solve for x
    x = 54,685,567,208.01/259,898.68
  6. Step 6: Final answer
    x = 210,411.10

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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.