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Finding the Fourth Proportional to 235,670.48, 353,561.09 and 77,898.93

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Solution

The fourth proportional to 235,670.48, 353,561.09 and 77,898.93 is: 116,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,670.48 : 353,561.09 = 77,898.93 : x
  2. Step 2: Convert to fraction form
    235,670.48/353,561.09 = 77,898.93/x
  3. Step 3: Cross multiply
    235,670.48x = 353,561.09 × 77,898.93
  4. Step 4: Simplify right side
    235,670.48x = 27,542,030,211.14
  5. Step 5: Solve for x
    x = 27,542,030,211.14/235,670.48
  6. Step 6: Final answer
    x = 116,866.70

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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.