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Finding the Fourth Proportional to 173,643.60, 260,465.40 and 142,150.80

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Solution

The fourth proportional to 173,643.60, 260,465.40 and 142,150.80 is: 213,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,643.60 : 260,465.40 = 142,150.80 : x
  2. Step 2: Convert to fraction form
    173,643.60/260,465.40 = 142,150.80/x
  3. Step 3: Cross multiply
    173,643.60x = 260,465.40 × 142,150.80
  4. Step 4: Simplify right side
    173,643.60x = 37,025,364,982.32
  5. Step 5: Solve for x
    x = 37,025,364,982.32/173,643.60
  6. Step 6: Final answer
    x = 213,226.20

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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.