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Finding the Fourth Proportional to 98,260.30, 147,419.16 and 31,698.96

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Solution

The fourth proportional to 98,260.30, 147,419.16 and 31,698.96 is: 47,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,260.30 : 147,419.16 = 31,698.96 : x
  2. Step 2: Convert to fraction form
    98,260.30/147,419.16 = 31,698.96/x
  3. Step 3: Cross multiply
    98,260.30x = 147,419.16 × 31,698.96
  4. Step 4: Simplify right side
    98,260.30x = 4,673,034,056.07
  5. Step 5: Solve for x
    x = 4,673,034,056.07/98,260.30
  6. Step 6: Final answer
    x = 47,557.70

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1.5x scale

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.