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Finding the Fourth Proportional to 285,084.61, 427,707.65 and 142,758.07

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Solution

The fourth proportional to 285,084.61, 427,707.65 and 142,758.07 is: 214,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,084.61 : 427,707.65 = 142,758.07 : x
  2. Step 2: Convert to fraction form
    285,084.61/427,707.65 = 142,758.07/x
  3. Step 3: Cross multiply
    285,084.61x = 427,707.65 × 142,758.07
  4. Step 4: Simplify right side
    285,084.61x = 61,058,718,638.24
  5. Step 5: Solve for x
    x = 61,058,718,638.24/285,084.61
  6. Step 6: Final answer
    x = 214,177.53

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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.