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Finding the Fourth Proportional to 160,442.10, 221,411.88 and 88,823.34

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Solution

The fourth proportional to 160,442.10, 221,411.88 and 88,823.34 is: 122,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,442.10 : 221,411.88 = 88,823.34 : x
  2. Step 2: Convert to fraction form
    160,442.10/221,411.88 = 88,823.34/x
  3. Step 3: Cross multiply
    160,442.10x = 221,411.88 × 88,823.34
  4. Step 4: Simplify right side
    160,442.10x = 19,666,542,697.28
  5. Step 5: Solve for x
    x = 19,666,542,697.28/160,442.10
  6. Step 6: Final answer
    x = 122,577.20

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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.