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Finding the Fourth Proportional to 98,738.52, 136,256.74 and 56,294.52

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Solution

The fourth proportional to 98,738.52, 136,256.74 and 56,294.52 is: 77,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,738.52 : 136,256.74 = 56,294.52 : x
  2. Step 2: Convert to fraction form
    98,738.52/136,256.74 = 56,294.52/x
  3. Step 3: Cross multiply
    98,738.52x = 136,256.74 × 56,294.52
  4. Step 4: Simplify right side
    98,738.52x = 7,670,507,775.06
  5. Step 5: Solve for x
    x = 7,670,507,775.06/98,738.52
  6. Step 6: Final answer
    x = 77,685.06

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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.