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Finding the Fourth Proportional to 145,972.57, 201,442.05 and 78,904.57

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Solution

The fourth proportional to 145,972.57, 201,442.05 and 78,904.57 is: 108,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,972.57 : 201,442.05 = 78,904.57 : x
  2. Step 2: Convert to fraction form
    145,972.57/201,442.05 = 78,904.57/x
  3. Step 3: Cross multiply
    145,972.57x = 201,442.05 × 78,904.57
  4. Step 4: Simplify right side
    145,972.57x = 15,894,698,335.17
  5. Step 5: Solve for x
    x = 15,894,698,335.17/145,972.57
  6. Step 6: Final answer
    x = 108,888.25

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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.