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Finding the Fourth Proportional to 102,000.59, 151,975.68 and 96,270.87

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Solution

The fourth proportional to 102,000.59, 151,975.68 and 96,270.87 is: 143,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.59 : 151,975.68 = 96,270.87 : x
  2. Step 2: Convert to fraction form
    102,000.59/151,975.68 = 96,270.87/x
  3. Step 3: Cross multiply
    102,000.59x = 151,975.68 × 96,270.87
  4. Step 4: Simplify right side
    102,000.59x = 14,630,830,932.44
  5. Step 5: Solve for x
    x = 14,630,830,932.44/102,000.59
  6. Step 6: Final answer
    x = 143,438.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.