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Finding the Fourth Proportional to 160,142.94, 221,008.80 and 88,521.48

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Solution

The fourth proportional to 160,142.94, 221,008.80 and 88,521.48 is: 122,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,142.94 : 221,008.80 = 88,521.48 : x
  2. Step 2: Convert to fraction form
    160,142.94/221,008.80 = 88,521.48/x
  3. Step 3: Cross multiply
    160,142.94x = 221,008.80 × 88,521.48
  4. Step 4: Simplify right side
    160,142.94x = 19,564,026,069.02
  5. Step 5: Solve for x
    x = 19,564,026,069.02/160,142.94
  6. Step 6: Final answer
    x = 122,166.02

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