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Finding the Fourth Proportional to 145,862.32, 201,190.08 and 89,301.64

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Solution

The fourth proportional to 145,862.32, 201,190.08 and 89,301.64 is: 123,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,862.32 : 201,190.08 = 89,301.64 : x
  2. Step 2: Convert to fraction form
    145,862.32/201,190.08 = 89,301.64/x
  3. Step 3: Cross multiply
    145,862.32x = 201,190.08 × 89,301.64
  4. Step 4: Simplify right side
    145,862.32x = 17,966,604,095.73
  5. Step 5: Solve for x
    x = 17,966,604,095.73/145,862.32
  6. Step 6: Final answer
    x = 123,175.09

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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.