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Finding the Fourth Proportional to 98,964, 136,756.68 and 75,046.32

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Solution

The fourth proportional to 98,964, 136,756.68 and 75,046.32 is: 103,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 136,756.68 = 75,046.32 : x
  2. Step 2: Convert to fraction form
    98,964/136,756.68 = 75,046.32/x
  3. Step 3: Cross multiply
    98,964x = 136,756.68 × 75,046.32
  4. Step 4: Simplify right side
    98,964x = 10,263,085,569.42
  5. Step 5: Solve for x
    x = 10,263,085,569.42/98,964
  6. Step 6: Final answer
    x = 103,705.24

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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.