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Finding the Fourth Proportional to 107,466, 148,265.28 and 64,459.43

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Solution

The fourth proportional to 107,466, 148,265.28 and 64,459.43 is: 88,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,466 : 148,265.28 = 64,459.43 : x
  2. Step 2: Convert to fraction form
    107,466/148,265.28 = 64,459.43/x
  3. Step 3: Cross multiply
    107,466x = 148,265.28 × 64,459.43
  4. Step 4: Simplify right side
    107,466x = 9,557,094,696.26
  5. Step 5: Solve for x
    x = 9,557,094,696.26/107,466
  6. Step 6: Final answer
    x = 88,931.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.