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Finding the Fourth Proportional to 259,495.38, 358,095.47 and 152,136.90

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Solution

The fourth proportional to 259,495.38, 358,095.47 and 152,136.90 is: 209,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,495.38 : 358,095.47 = 152,136.90 : x
  2. Step 2: Convert to fraction form
    259,495.38/358,095.47 = 152,136.90/x
  3. Step 3: Cross multiply
    259,495.38x = 358,095.47 × 152,136.90
  4. Step 4: Simplify right side
    259,495.38x = 54,479,533,949.16
  5. Step 5: Solve for x
    x = 54,479,533,949.16/259,495.38
  6. Step 6: Final answer
    x = 209,944.14

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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.