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Finding the Fourth Proportional to 153,136.80, 229,730.40 and 47,930.40

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Solution

The fourth proportional to 153,136.80, 229,730.40 and 47,930.40 is: 71,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,136.80 : 229,730.40 = 47,930.40 : x
  2. Step 2: Convert to fraction form
    153,136.80/229,730.40 = 47,930.40/x
  3. Step 3: Cross multiply
    153,136.80x = 229,730.40 × 47,930.40
  4. Step 4: Simplify right side
    153,136.80x = 11,011,069,964.16
  5. Step 5: Solve for x
    x = 11,011,069,964.16/153,136.80
  6. Step 6: Final answer
    x = 71,903.49

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