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Finding the Fourth Proportional to 242,097.84, 334,064.52 and 134,672.40

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Solution

The fourth proportional to 242,097.84, 334,064.52 and 134,672.40 is: 185,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,097.84 : 334,064.52 = 134,672.40 : x
  2. Step 2: Convert to fraction form
    242,097.84/334,064.52 = 134,672.40/x
  3. Step 3: Cross multiply
    242,097.84x = 334,064.52 × 134,672.40
  4. Step 4: Simplify right side
    242,097.84x = 44,989,270,663.25
  5. Step 5: Solve for x
    x = 44,989,270,663.25/242,097.84
  6. Step 6: Final answer
    x = 185,830.95

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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.