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Finding the Fourth Proportional to 107,471.88, 148,154.88 and 75,106.02

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Solution

The fourth proportional to 107,471.88, 148,154.88 and 75,106.02 is: 103,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,471.88 : 148,154.88 = 75,106.02 : x
  2. Step 2: Convert to fraction form
    107,471.88/148,154.88 = 75,106.02/x
  3. Step 3: Cross multiply
    107,471.88x = 148,154.88 × 75,106.02
  4. Step 4: Simplify right side
    107,471.88x = 11,127,322,264.07
  5. Step 5: Solve for x
    x = 11,127,322,264.07/107,471.88
  6. Step 6: Final answer
    x = 103,537.06

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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.