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Finding the Fourth Proportional to 228,764.12, 315,300.13 and 152,146.15

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Solution

The fourth proportional to 228,764.12, 315,300.13 and 152,146.15 is: 209,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,764.12 : 315,300.13 = 152,146.15 : x
  2. Step 2: Convert to fraction form
    228,764.12/315,300.13 = 152,146.15/x
  3. Step 3: Cross multiply
    228,764.12x = 315,300.13 × 152,146.15
  4. Step 4: Simplify right side
    228,764.12x = 47,971,699,705.38
  5. Step 5: Solve for x
    x = 47,971,699,705.38/228,764.12
  6. Step 6: Final answer
    x = 209,699.41

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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.