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Finding the Fourth Proportional to 153,005.20, 229,283.70 and 137,210.20

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Solution

The fourth proportional to 153,005.20, 229,283.70 and 137,210.20 is: 205,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,005.20 : 229,283.70 = 137,210.20 : x
  2. Step 2: Convert to fraction form
    153,005.20/229,283.70 = 137,210.20/x
  3. Step 3: Cross multiply
    153,005.20x = 229,283.70 × 137,210.20
  4. Step 4: Simplify right side
    153,005.20x = 31,460,062,333.74
  5. Step 5: Solve for x
    x = 31,460,062,333.74/153,005.20
  6. Step 6: Final answer
    x = 205,614.33

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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.