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Finding the Fourth Proportional to 242,020.32, 333,968.80 and 134,584

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Solution

The fourth proportional to 242,020.32, 333,968.80 and 134,584 is: 185,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,020.32 : 333,968.80 = 134,584 : x
  2. Step 2: Convert to fraction form
    242,020.32/333,968.80 = 134,584/x
  3. Step 3: Cross multiply
    242,020.32x = 333,968.80 × 134,584
  4. Step 4: Simplify right side
    242,020.32x = 44,946,856,979.20
  5. Step 5: Solve for x
    x = 44,946,856,979.20/242,020.32
  6. Step 6: Final answer
    x = 185,715.22

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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.