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Finding the Fourth Proportional to 191,395.26, 286,986.78 and 77,440.14

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Solution

The fourth proportional to 191,395.26, 286,986.78 and 77,440.14 is: 116,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,395.26 : 286,986.78 = 77,440.14 : x
  2. Step 2: Convert to fraction form
    191,395.26/286,986.78 = 77,440.14/x
  3. Step 3: Cross multiply
    191,395.26x = 286,986.78 × 77,440.14
  4. Step 4: Simplify right side
    191,395.26x = 22,224,296,421.35
  5. Step 5: Solve for x
    x = 22,224,296,421.35/191,395.26
  6. Step 6: Final answer
    x = 116,117.28

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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.