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Finding the Fourth Proportional to 153,123.76, 229,685.66 and 47,950.94

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Solution

The fourth proportional to 153,123.76, 229,685.66 and 47,950.94 is: 71,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,123.76 : 229,685.66 = 47,950.94 : x
  2. Step 2: Convert to fraction form
    153,123.76/229,685.66 = 47,950.94/x
  3. Step 3: Cross multiply
    153,123.76x = 229,685.66 × 47,950.94
  4. Step 4: Simplify right side
    153,123.76x = 11,013,643,301.52
  5. Step 5: Solve for x
    x = 11,013,643,301.52/153,123.76
  6. Step 6: Final answer
    x = 71,926.42

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1.5x scale

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.