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Finding the Fourth Proportional to 157,094.40, 216,788.16 and 85,473.60

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Solution

The fourth proportional to 157,094.40, 216,788.16 and 85,473.60 is: 117,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,094.40 : 216,788.16 = 85,473.60 : x
  2. Step 2: Convert to fraction form
    157,094.40/216,788.16 = 85,473.60/x
  3. Step 3: Cross multiply
    157,094.40x = 216,788.16 × 85,473.60
  4. Step 4: Simplify right side
    157,094.40x = 18,529,664,472.58
  5. Step 5: Solve for x
    x = 18,529,664,472.58/157,094.40
  6. Step 6: Final answer
    x = 117,952.42

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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.