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Finding the Fourth Proportional to 227,100.14, 340,702.98 and 77,341.72

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Solution

The fourth proportional to 227,100.14, 340,702.98 and 77,341.72 is: 116,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,100.14 : 340,702.98 = 77,341.72 : x
  2. Step 2: Convert to fraction form
    227,100.14/340,702.98 = 77,341.72/x
  3. Step 3: Cross multiply
    227,100.14x = 340,702.98 × 77,341.72
  4. Step 4: Simplify right side
    227,100.14x = 26,350,554,482.33
  5. Step 5: Solve for x
    x = 26,350,554,482.33/227,100.14
  6. Step 6: Final answer
    x = 116,030.55

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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.