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Finding the Fourth Proportional to 98,160.40, 147,305.16 and 53,818.30

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Solution

The fourth proportional to 98,160.40, 147,305.16 and 53,818.30 is: 80,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,160.40 : 147,305.16 = 53,818.30 : x
  2. Step 2: Convert to fraction form
    98,160.40/147,305.16 = 53,818.30/x
  3. Step 3: Cross multiply
    98,160.40x = 147,305.16 × 53,818.30
  4. Step 4: Simplify right side
    98,160.40x = 7,927,713,292.43
  5. Step 5: Solve for x
    x = 7,927,713,292.43/98,160.40
  6. Step 6: Final answer
    x = 80,762.85

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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.