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Finding the Fourth Proportional to 160,542.84, 221,549.14 and 88,927.47

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Solution

The fourth proportional to 160,542.84, 221,549.14 and 88,927.47 is: 122,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,542.84 : 221,549.14 = 88,927.47 : x
  2. Step 2: Convert to fraction form
    160,542.84/221,549.14 = 88,927.47/x
  3. Step 3: Cross multiply
    160,542.84x = 221,549.14 × 88,927.47
  4. Step 4: Simplify right side
    160,542.84x = 19,701,804,612.04
  5. Step 5: Solve for x
    x = 19,701,804,612.04/160,542.84
  6. Step 6: Final answer
    x = 122,719.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.