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Finding the Fourth Proportional to 157,086.12, 216,779.76 and 85,466.63

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Solution

The fourth proportional to 157,086.12, 216,779.76 and 85,466.63 is: 117,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,086.12 : 216,779.76 = 85,466.63 : x
  2. Step 2: Convert to fraction form
    157,086.12/216,779.76 = 85,466.63/x
  3. Step 3: Cross multiply
    157,086.12x = 216,779.76 × 85,466.63
  4. Step 4: Simplify right side
    157,086.12x = 18,527,435,539.41
  5. Step 5: Solve for x
    x = 18,527,435,539.41/157,086.12
  6. Step 6: Final answer
    x = 117,944.45

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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.