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Finding the Fourth Proportional to 229,259.20, 343,888.80 and 96,095.20

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Solution

The fourth proportional to 229,259.20, 343,888.80 and 96,095.20 is: 144,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,259.20 : 343,888.80 = 96,095.20 : x
  2. Step 2: Convert to fraction form
    229,259.20/343,888.80 = 96,095.20/x
  3. Step 3: Cross multiply
    229,259.20x = 343,888.80 × 96,095.20
  4. Step 4: Simplify right side
    229,259.20x = 33,046,063,013.76
  5. Step 5: Solve for x
    x = 33,046,063,013.76/229,259.20
  6. Step 6: Final answer
    x = 144,142.80

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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.