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Finding the Fourth Proportional to 157,103.92, 216,803.20 and 85,483.84

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Solution

The fourth proportional to 157,103.92, 216,803.20 and 85,483.84 is: 117,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,103.92 : 216,803.20 = 85,483.84 : x
  2. Step 2: Convert to fraction form
    157,103.92/216,803.20 = 85,483.84/x
  3. Step 3: Cross multiply
    157,103.92x = 216,803.20 × 85,483.84
  4. Step 4: Simplify right side
    157,103.92x = 18,533,170,060.29
  5. Step 5: Solve for x
    x = 18,533,170,060.29/157,103.92
  6. Step 6: Final answer
    x = 117,967.59

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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.