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Finding the Fourth Proportional to 118,098, 162,975.24 and 75,656.53

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Solution

The fourth proportional to 118,098, 162,975.24 and 75,656.53 is: 104,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098 : 162,975.24 = 75,656.53 : x
  2. Step 2: Convert to fraction form
    118,098/162,975.24 = 75,656.53/x
  3. Step 3: Cross multiply
    118,098x = 162,975.24 × 75,656.53
  4. Step 4: Simplify right side
    118,098x = 12,330,141,338.04
  5. Step 5: Solve for x
    x = 12,330,141,338.04/118,098
  6. Step 6: Final answer
    x = 104,406.01

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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.