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Finding the Fourth Proportional to 210,694.35, 315,868.38 and 98,319

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Solution

The fourth proportional to 210,694.35, 315,868.38 and 98,319 is: 147,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,694.35 : 315,868.38 = 98,319 : x
  2. Step 2: Convert to fraction form
    210,694.35/315,868.38 = 98,319/x
  3. Step 3: Cross multiply
    210,694.35x = 315,868.38 × 98,319
  4. Step 4: Simplify right side
    210,694.35x = 31,055,863,253.22
  5. Step 5: Solve for x
    x = 31,055,863,253.22/210,694.35
  6. Step 6: Final answer
    x = 147,397.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.