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Finding the Fourth Proportional to 261,785.34, 392,548.70 and 153,741.81

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Solution

The fourth proportional to 261,785.34, 392,548.70 and 153,741.81 is: 230,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,785.34 : 392,548.70 = 153,741.81 : x
  2. Step 2: Convert to fraction form
    261,785.34/392,548.70 = 153,741.81/x
  3. Step 3: Cross multiply
    261,785.34x = 392,548.70 × 153,741.81
  4. Step 4: Simplify right side
    261,785.34x = 60,351,148,035.50
  5. Step 5: Solve for x
    x = 60,351,148,035.50/261,785.34
  6. Step 6: Final answer
    x = 230,536.78

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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.