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Finding the Fourth Proportional to 154,750.71, 232,116.51 and 54,897.75

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Solution

The fourth proportional to 154,750.71, 232,116.51 and 54,897.75 is: 82,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,750.71 : 232,116.51 = 54,897.75 : x
  2. Step 2: Convert to fraction form
    154,750.71/232,116.51 = 54,897.75/x
  3. Step 3: Cross multiply
    154,750.71x = 232,116.51 × 54,897.75
  4. Step 4: Simplify right side
    154,750.71x = 12,742,674,136.85
  5. Step 5: Solve for x
    x = 12,742,674,136.85/154,750.71
  6. Step 6: Final answer
    x = 82,343.24

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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.