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Finding the Fourth Proportional to 98,153.90, 147,230.85 and 31,594.04

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Solution

The fourth proportional to 98,153.90, 147,230.85 and 31,594.04 is: 47,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,153.90 : 147,230.85 = 31,594.04 : x
  2. Step 2: Convert to fraction form
    98,153.90/147,230.85 = 31,594.04/x
  3. Step 3: Cross multiply
    98,153.90x = 147,230.85 × 31,594.04
  4. Step 4: Simplify right side
    98,153.90x = 4,651,617,364.13
  5. Step 5: Solve for x
    x = 4,651,617,364.13/98,153.90
  6. Step 6: Final answer
    x = 47,391.06

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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.