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Finding the Fourth Proportional to 233,151.60, 349,727.40 and 83,463.60

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Solution

The fourth proportional to 233,151.60, 349,727.40 and 83,463.60 is: 125,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,151.60 : 349,727.40 = 83,463.60 : x
  2. Step 2: Convert to fraction form
    233,151.60/349,727.40 = 83,463.60/x
  3. Step 3: Cross multiply
    233,151.60x = 349,727.40 × 83,463.60
  4. Step 4: Simplify right side
    233,151.60x = 29,189,507,822.64
  5. Step 5: Solve for x
    x = 29,189,507,822.64/233,151.60
  6. Step 6: Final answer
    x = 125,195.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.