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Finding the Fourth Proportional to 259,773.14, 358,546.70 and 152,377.77

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Solution

The fourth proportional to 259,773.14, 358,546.70 and 152,377.77 is: 210,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,773.14 : 358,546.70 = 152,377.77 : x
  2. Step 2: Convert to fraction form
    259,773.14/358,546.70 = 152,377.77/x
  3. Step 3: Cross multiply
    259,773.14x = 358,546.70 × 152,377.77
  4. Step 4: Simplify right side
    259,773.14x = 54,634,548,312.35
  5. Step 5: Solve for x
    x = 54,634,548,312.35/259,773.14
  6. Step 6: Final answer
    x = 210,316.39

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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.