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Finding the Fourth Proportional to 130,374.16, 195,506.16 and 55,491.28

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Solution

The fourth proportional to 130,374.16, 195,506.16 and 55,491.28 is: 83,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,374.16 : 195,506.16 = 55,491.28 : x
  2. Step 2: Convert to fraction form
    130,374.16/195,506.16 = 55,491.28/x
  3. Step 3: Cross multiply
    130,374.16x = 195,506.16 × 55,491.28
  4. Step 4: Simplify right side
    130,374.16x = 10,848,887,066.28
  5. Step 5: Solve for x
    x = 10,848,887,066.28/130,374.16
  6. Step 6: Final answer
    x = 83,213.48

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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.