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Finding the Fourth Proportional to 291,427.32, 437,141.76 and 81,065.28

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Solution

The fourth proportional to 291,427.32, 437,141.76 and 81,065.28 is: 121,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,427.32 : 437,141.76 = 81,065.28 : x
  2. Step 2: Convert to fraction form
    291,427.32/437,141.76 = 81,065.28/x
  3. Step 3: Cross multiply
    291,427.32x = 437,141.76 × 81,065.28
  4. Step 4: Simplify right side
    291,427.32x = 35,437,019,174.09
  5. Step 5: Solve for x
    x = 35,437,019,174.09/291,427.32
  6. Step 6: Final answer
    x = 121,598.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.