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Finding the Fourth Proportional to 147,953, 221,985.40 and 88,829.92

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Solution

The fourth proportional to 147,953, 221,985.40 and 88,829.92 is: 133,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,953 : 221,985.40 = 88,829.92 : x
  2. Step 2: Convert to fraction form
    147,953/221,985.40 = 88,829.92/x
  3. Step 3: Cross multiply
    147,953x = 221,985.40 × 88,829.92
  4. Step 4: Simplify right side
    147,953x = 19,718,945,323.17
  5. Step 5: Solve for x
    x = 19,718,945,323.17/147,953
  6. Step 6: Final answer
    x = 133,278.44

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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.