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Finding the Fourth Proportional to 185,764.80, 278,319.15 and 152,303.70

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Solution

The fourth proportional to 185,764.80, 278,319.15 and 152,303.70 is: 228,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,764.80 : 278,319.15 = 152,303.70 : x
  2. Step 2: Convert to fraction form
    185,764.80/278,319.15 = 152,303.70/x
  3. Step 3: Cross multiply
    185,764.80x = 278,319.15 × 152,303.70
  4. Step 4: Simplify right side
    185,764.80x = 42,389,036,325.86
  5. Step 5: Solve for x
    x = 42,389,036,325.86/185,764.80
  6. Step 6: Final answer
    x = 228,186.59

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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.