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Finding the Fourth Proportional to 242,612.48, 363,868.52 and 65,077.28

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Solution

The fourth proportional to 242,612.48, 363,868.52 and 65,077.28 is: 97,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,612.48 : 363,868.52 = 65,077.28 : x
  2. Step 2: Convert to fraction form
    242,612.48/363,868.52 = 65,077.28/x
  3. Step 3: Cross multiply
    242,612.48x = 363,868.52 × 65,077.28
  4. Step 4: Simplify right side
    242,612.48x = 23,679,573,559.23
  5. Step 5: Solve for x
    x = 23,679,573,559.23/242,612.48
  6. Step 6: Final answer
    x = 97,602.45

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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.