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Finding the Fourth Proportional to 98,752.16, 136,274.64 and 54,039.20

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Solution

The fourth proportional to 98,752.16, 136,274.64 and 54,039.20 is: 74,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,752.16 : 136,274.64 = 54,039.20 : x
  2. Step 2: Convert to fraction form
    98,752.16/136,274.64 = 54,039.20/x
  3. Step 3: Cross multiply
    98,752.16x = 136,274.64 × 54,039.20
  4. Step 4: Simplify right side
    98,752.16x = 7,364,172,525.89
  5. Step 5: Solve for x
    x = 7,364,172,525.89/98,752.16
  6. Step 6: Final answer
    x = 74,572.27

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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.