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Finding the Fourth Proportional to 151,505.68, 209,079.25 and 83,525.06

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Solution

The fourth proportional to 151,505.68, 209,079.25 and 83,525.06 is: 115,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,505.68 : 209,079.25 = 83,525.06 : x
  2. Step 2: Convert to fraction form
    151,505.68/209,079.25 = 83,525.06/x
  3. Step 3: Cross multiply
    151,505.68x = 209,079.25 × 83,525.06
  4. Step 4: Simplify right side
    151,505.68x = 17,463,357,155.79
  5. Step 5: Solve for x
    x = 17,463,357,155.79/151,505.68
  6. Step 6: Final answer
    x = 115,265.36

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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.