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Finding the Fourth Proportional to 160,442.75, 221,411 and 93,374.75

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Solution

The fourth proportional to 160,442.75, 221,411 and 93,374.75 is: 128,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,442.75 : 221,411 = 93,374.75 : x
  2. Step 2: Convert to fraction form
    160,442.75/221,411 = 93,374.75/x
  3. Step 3: Cross multiply
    160,442.75x = 221,411 × 93,374.75
  4. Step 4: Simplify right side
    160,442.75x = 20,674,196,772.25
  5. Step 5: Solve for x
    x = 20,674,196,772.25/160,442.75
  6. Step 6: Final answer
    x = 128,857.16

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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.