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Finding the Fourth Proportional to 137,096.48, 205,585.90 and 47,148.24

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Solution

The fourth proportional to 137,096.48, 205,585.90 and 47,148.24 is: 70,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,096.48 : 205,585.90 = 47,148.24 : x
  2. Step 2: Convert to fraction form
    137,096.48/205,585.90 = 47,148.24/x
  3. Step 3: Cross multiply
    137,096.48x = 205,585.90 × 47,148.24
  4. Step 4: Simplify right side
    137,096.48x = 9,693,014,139.50
  5. Step 5: Solve for x
    x = 9,693,014,139.50/137,096.48
  6. Step 6: Final answer
    x = 70,702.14

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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.