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Finding the Fourth Proportional to 107,854.36, 148,795.86 and 65,397.40

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Solution

The fourth proportional to 107,854.36, 148,795.86 and 65,397.40 is: 90,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,854.36 : 148,795.86 = 65,397.40 : x
  2. Step 2: Convert to fraction form
    107,854.36/148,795.86 = 65,397.40/x
  3. Step 3: Cross multiply
    107,854.36x = 148,795.86 × 65,397.40
  4. Step 4: Simplify right side
    107,854.36x = 9,730,862,374.76
  5. Step 5: Solve for x
    x = 9,730,862,374.76/107,854.36
  6. Step 6: Final answer
    x = 90,222.24

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1.5x scale

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.