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Finding the Fourth Proportional to 157,206.96, 216,921.16 and 90,126

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Solution

The fourth proportional to 157,206.96, 216,921.16 and 90,126 is: 124,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,206.96 : 216,921.16 = 90,126 : x
  2. Step 2: Convert to fraction form
    157,206.96/216,921.16 = 90,126/x
  3. Step 3: Cross multiply
    157,206.96x = 216,921.16 × 90,126
  4. Step 4: Simplify right side
    157,206.96x = 19,550,236,466.16
  5. Step 5: Solve for x
    x = 19,550,236,466.16/157,206.96
  6. Step 6: Final answer
    x = 124,359.87

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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.