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Finding the Fourth Proportional to 157,061.18, 216,741.87 and 85,443

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Solution

The fourth proportional to 157,061.18, 216,741.87 and 85,443 is: 117,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,061.18 : 216,741.87 = 85,443 : x
  2. Step 2: Convert to fraction form
    157,061.18/216,741.87 = 85,443/x
  3. Step 3: Cross multiply
    157,061.18x = 216,741.87 × 85,443
  4. Step 4: Simplify right side
    157,061.18x = 18,519,075,598.41
  5. Step 5: Solve for x
    x = 18,519,075,598.41/157,061.18
  6. Step 6: Final answer
    x = 117,909.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.