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Finding the Fourth Proportional to 153,253.32, 229,830.36 and 55,865.94

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Solution

The fourth proportional to 153,253.32, 229,830.36 and 55,865.94 is: 83,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,253.32 : 229,830.36 = 55,865.94 : x
  2. Step 2: Convert to fraction form
    153,253.32/229,830.36 = 55,865.94/x
  3. Step 3: Cross multiply
    153,253.32x = 229,830.36 × 55,865.94
  4. Step 4: Simplify right side
    153,253.32x = 12,839,689,101.94
  5. Step 5: Solve for x
    x = 12,839,689,101.94/153,253.32
  6. Step 6: Final answer
    x = 83,780.82

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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.