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Finding the Fourth Proportional to 97,184.65, 134,118.90 and 54,164.16

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Solution

The fourth proportional to 97,184.65, 134,118.90 and 54,164.16 is: 74,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,184.65 : 134,118.90 = 54,164.16 : x
  2. Step 2: Convert to fraction form
    97,184.65/134,118.90 = 54,164.16/x
  3. Step 3: Cross multiply
    97,184.65x = 134,118.90 × 54,164.16
  4. Step 4: Simplify right side
    97,184.65x = 7,264,438,061.57
  5. Step 5: Solve for x
    x = 7,264,438,061.57/97,184.65
  6. Step 6: Final answer
    x = 74,748.82

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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.