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Finding the Fourth Proportional to 153,811.60, 230,674.20 and 48,662.80

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Solution

The fourth proportional to 153,811.60, 230,674.20 and 48,662.80 is: 72,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,811.60 : 230,674.20 = 48,662.80 : x
  2. Step 2: Convert to fraction form
    153,811.60/230,674.20 = 48,662.80/x
  3. Step 3: Cross multiply
    153,811.60x = 230,674.20 × 48,662.80
  4. Step 4: Simplify right side
    153,811.60x = 11,225,252,459.76
  5. Step 5: Solve for x
    x = 11,225,252,459.76/153,811.60
  6. Step 6: Final answer
    x = 72,980.53

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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.