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Finding the Fourth Proportional to 208,702.29, 313,050.40 and 144,601.32

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Solution

The fourth proportional to 208,702.29, 313,050.40 and 144,601.32 is: 216,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,702.29 : 313,050.40 = 144,601.32 : x
  2. Step 2: Convert to fraction form
    208,702.29/313,050.40 = 144,601.32/x
  3. Step 3: Cross multiply
    208,702.29x = 313,050.40 × 144,601.32
  4. Step 4: Simplify right side
    208,702.29x = 45,267,501,066.53
  5. Step 5: Solve for x
    x = 45,267,501,066.53/208,702.29
  6. Step 6: Final answer
    x = 216,899.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.