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Finding the Fourth Proportional to 97,614.65, 146,254.66 and 65,533.64

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Solution

The fourth proportional to 97,614.65, 146,254.66 and 65,533.64 is: 98,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614.65 : 146,254.66 = 65,533.64 : x
  2. Step 2: Convert to fraction form
    97,614.65/146,254.66 = 65,533.64/x
  3. Step 3: Cross multiply
    97,614.65x = 146,254.66 × 65,533.64
  4. Step 4: Simplify right side
    97,614.65x = 9,584,600,236.76
  5. Step 5: Solve for x
    x = 9,584,600,236.76/97,614.65
  6. Step 6: Final answer
    x = 98,188.13

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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.