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Finding the Fourth Proportional to 157,092.60, 235,379.70 and 78,036.60

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Solution

The fourth proportional to 157,092.60, 235,379.70 and 78,036.60 is: 116,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,092.60 : 235,379.70 = 78,036.60 : x
  2. Step 2: Convert to fraction form
    157,092.60/235,379.70 = 78,036.60/x
  3. Step 3: Cross multiply
    157,092.60x = 235,379.70 × 78,036.60
  4. Step 4: Simplify right side
    157,092.60x = 18,368,231,497.02
  5. Step 5: Solve for x
    x = 18,368,231,497.02/157,092.60
  6. Step 6: Final answer
    x = 116,926.14

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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.