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Finding the Fourth Proportional to 151,296.51, 208,782.45 and 86,719.45

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Solution

The fourth proportional to 151,296.51, 208,782.45 and 86,719.45 is: 119,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,296.51 : 208,782.45 = 86,719.45 : x
  2. Step 2: Convert to fraction form
    151,296.51/208,782.45 = 86,719.45/x
  3. Step 3: Cross multiply
    151,296.51x = 208,782.45 × 86,719.45
  4. Step 4: Simplify right side
    151,296.51x = 18,105,499,233.65
  5. Step 5: Solve for x
    x = 18,105,499,233.65/151,296.51
  6. Step 6: Final answer
    x = 119,668.98

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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.