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Finding the Fourth Proportional to 185,168.71, 277,854.18 and 78,536.08

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Solution

The fourth proportional to 185,168.71, 277,854.18 and 78,536.08 is: 117,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,168.71 : 277,854.18 = 78,536.08 : x
  2. Step 2: Convert to fraction form
    185,168.71/277,854.18 = 78,536.08/x
  3. Step 3: Cross multiply
    185,168.71x = 277,854.18 × 78,536.08
  4. Step 4: Simplify right side
    185,168.71x = 21,821,578,108.81
  5. Step 5: Solve for x
    x = 21,821,578,108.81/185,168.71
  6. Step 6: Final answer
    x = 117,847.01

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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.