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Finding the Fourth Proportional to 152,008.55, 209,771.84 and 83,098.31

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Solution

The fourth proportional to 152,008.55, 209,771.84 and 83,098.31 is: 114,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,008.55 : 209,771.84 = 83,098.31 : x
  2. Step 2: Convert to fraction form
    152,008.55/209,771.84 = 83,098.31/x
  3. Step 3: Cross multiply
    152,008.55x = 209,771.84 × 83,098.31
  4. Step 4: Simplify right side
    152,008.55x = 17,431,683,925.24
  5. Step 5: Solve for x
    x = 17,431,683,925.24/152,008.55
  6. Step 6: Final answer
    x = 114,675.68

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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.