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Finding the Fourth Proportional to 174,166.60, 260,904.30 and 100,208.20

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Solution

The fourth proportional to 174,166.60, 260,904.30 and 100,208.20 is: 150,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,166.60 : 260,904.30 = 100,208.20 : x
  2. Step 2: Convert to fraction form
    174,166.60/260,904.30 = 100,208.20/x
  3. Step 3: Cross multiply
    174,166.60x = 260,904.30 × 100,208.20
  4. Step 4: Simplify right side
    174,166.60x = 26,144,750,275.26
  5. Step 5: Solve for x
    x = 26,144,750,275.26/174,166.60
  6. Step 6: Final answer
    x = 150,113.46

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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.