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Finding the Fourth Proportional to 255,192.06, 382,530.76 and 160,489.90

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Solution

The fourth proportional to 255,192.06, 382,530.76 and 160,489.90 is: 240,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,192.06 : 382,530.76 = 160,489.90 : x
  2. Step 2: Convert to fraction form
    255,192.06/382,530.76 = 160,489.90/x
  3. Step 3: Cross multiply
    255,192.06x = 382,530.76 × 160,489.90
  4. Step 4: Simplify right side
    255,192.06x = 61,392,323,419.32
  5. Step 5: Solve for x
    x = 61,392,323,419.32/255,192.06
  6. Step 6: Final answer
    x = 240,573.02

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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.