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Finding the Fourth Proportional to 173,811.60, 260,328.60 and 142,707.60

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Solution

The fourth proportional to 173,811.60, 260,328.60 and 142,707.60 is: 213,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,811.60 : 260,328.60 = 142,707.60 : x
  2. Step 2: Convert to fraction form
    173,811.60/260,328.60 = 142,707.60/x
  3. Step 3: Cross multiply
    173,811.60x = 260,328.60 × 142,707.60
  4. Step 4: Simplify right side
    173,811.60x = 37,150,869,717.36
  5. Step 5: Solve for x
    x = 37,150,869,717.36/173,811.60
  6. Step 6: Final answer
    x = 213,742.18

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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.