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Finding the Fourth Proportional to 107,497.38, 148,322.30 and 65,055

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Solution

The fourth proportional to 107,497.38, 148,322.30 and 65,055 is: 89,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,497.38 : 148,322.30 = 65,055 : x
  2. Step 2: Convert to fraction form
    107,497.38/148,322.30 = 65,055/x
  3. Step 3: Cross multiply
    107,497.38x = 148,322.30 × 65,055
  4. Step 4: Simplify right side
    107,497.38x = 9,649,106,901.23
  5. Step 5: Solve for x
    x = 9,649,106,901.23/107,497.38
  6. Step 6: Final answer
    x = 89,761.32

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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.