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Finding the Fourth Proportional to 255,719.76, 352,748.76 and 160,060.38

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Solution

The fourth proportional to 255,719.76, 352,748.76 and 160,060.38 is: 220,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,719.76 : 352,748.76 = 160,060.38 : x
  2. Step 2: Convert to fraction form
    255,719.76/352,748.76 = 160,060.38/x
  3. Step 3: Cross multiply
    255,719.76x = 352,748.76 × 160,060.38
  4. Step 4: Simplify right side
    255,719.76x = 56,461,100,570.13
  5. Step 5: Solve for x
    x = 56,461,100,570.13/255,719.76
  6. Step 6: Final answer
    x = 220,792.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.