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Finding the Fourth Proportional to 157,114.84, 216,823.08 and 85,499.52

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Solution

The fourth proportional to 157,114.84, 216,823.08 and 85,499.52 is: 117,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,114.84 : 216,823.08 = 85,499.52 : x
  2. Step 2: Convert to fraction form
    157,114.84/216,823.08 = 85,499.52/x
  3. Step 3: Cross multiply
    157,114.84x = 216,823.08 × 85,499.52
  4. Step 4: Simplify right side
    157,114.84x = 18,538,269,264.92
  5. Step 5: Solve for x
    x = 18,538,269,264.92/157,114.84
  6. Step 6: Final answer
    x = 117,991.84

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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.