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Finding the Fourth Proportional to 145,771.30, 201,095.65 and 85,304.87

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Solution

The fourth proportional to 145,771.30, 201,095.65 and 85,304.87 is: 117,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,771.30 : 201,095.65 = 85,304.87 : x
  2. Step 2: Convert to fraction form
    145,771.30/201,095.65 = 85,304.87/x
  3. Step 3: Cross multiply
    145,771.30x = 201,095.65 × 85,304.87
  4. Step 4: Simplify right side
    145,771.30x = 17,154,438,280.82
  5. Step 5: Solve for x
    x = 17,154,438,280.82/145,771.30
  6. Step 6: Final answer
    x = 117,680.49

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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.