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Finding the Fourth Proportional to 259,587.38, 358,230.40 and 146,410.13

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Solution

The fourth proportional to 259,587.38, 358,230.40 and 146,410.13 is: 202,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,587.38 : 358,230.40 = 146,410.13 : x
  2. Step 2: Convert to fraction form
    259,587.38/358,230.40 = 146,410.13/x
  3. Step 3: Cross multiply
    259,587.38x = 358,230.40 × 146,410.13
  4. Step 4: Simplify right side
    259,587.38x = 52,448,559,963.50
  5. Step 5: Solve for x
    x = 52,448,559,963.50/259,587.38
  6. Step 6: Final answer
    x = 202,045.88

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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.