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Finding the Fourth Proportional to 147,376.76, 203,369.00 and 83,702.25

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Solution

The fourth proportional to 147,376.76, 203,369.00 and 83,702.25 is: 115,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,376.76 : 203,369.00 = 83,702.25 : x
  2. Step 2: Convert to fraction form
    147,376.76/203,369.00 = 83,702.25/x
  3. Step 3: Cross multiply
    147,376.76x = 203,369.00 × 83,702.25
  4. Step 4: Simplify right side
    147,376.76x = 17,022,442,461.74
  5. Step 5: Solve for x
    x = 17,022,442,461.74/147,376.76
  6. Step 6: Final answer
    x = 115,502.90

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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.