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Finding the Fourth Proportional to 178,071, 245,737.98 and 98,583

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Solution

The fourth proportional to 178,071, 245,737.98 and 98,583 is: 136,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,071 : 245,737.98 = 98,583 : x
  2. Step 2: Convert to fraction form
    178,071/245,737.98 = 98,583/x
  3. Step 3: Cross multiply
    178,071x = 245,737.98 × 98,583
  4. Step 4: Simplify right side
    178,071x = 24,225,587,282.34
  5. Step 5: Solve for x
    x = 24,225,587,282.34/178,071
  6. Step 6: Final answer
    x = 136,044.54

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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.