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Finding the Fourth Proportional to 143,878.96, 198,567.48 and 83,468.08

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Solution

The fourth proportional to 143,878.96, 198,567.48 and 83,468.08 is: 115,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,878.96 : 198,567.48 = 83,468.08 : x
  2. Step 2: Convert to fraction form
    143,878.96/198,567.48 = 83,468.08/x
  3. Step 3: Cross multiply
    143,878.96x = 198,567.48 × 83,468.08
  4. Step 4: Simplify right side
    143,878.96x = 16,574,046,306.04
  5. Step 5: Solve for x
    x = 16,574,046,306.04/143,878.96
  6. Step 6: Final answer
    x = 115,194.37

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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.