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Finding the Fourth Proportional to 178,696.90, 268,045.35 and 47,368.90

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Solution

The fourth proportional to 178,696.90, 268,045.35 and 47,368.90 is: 71,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,696.90 : 268,045.35 = 47,368.90 : x
  2. Step 2: Convert to fraction form
    178,696.90/268,045.35 = 47,368.90/x
  3. Step 3: Cross multiply
    178,696.90x = 268,045.35 × 47,368.90
  4. Step 4: Simplify right side
    178,696.90x = 12,697,013,379.62
  5. Step 5: Solve for x
    x = 12,697,013,379.62/178,696.90
  6. Step 6: Final answer
    x = 71,053.35

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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.