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Finding the Fourth Proportional to 259,702.13, 358,389.29 and 146,535.41

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Solution

The fourth proportional to 259,702.13, 358,389.29 and 146,535.41 is: 202,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,702.13 : 358,389.29 = 146,535.41 : x
  2. Step 2: Convert to fraction form
    259,702.13/358,389.29 = 146,535.41/x
  3. Step 3: Cross multiply
    259,702.13x = 358,389.29 × 146,535.41
  4. Step 4: Simplify right side
    259,702.13x = 52,516,721,549.76
  5. Step 5: Solve for x
    x = 52,516,721,549.76/259,702.13
  6. Step 6: Final answer
    x = 202,219.06

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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.