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Finding the Fourth Proportional to 145,042.84, 217,626.63 and 78,530.50

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Solution

The fourth proportional to 145,042.84, 217,626.63 and 78,530.50 is: 117,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,042.84 : 217,626.63 = 78,530.50 : x
  2. Step 2: Convert to fraction form
    145,042.84/217,626.63 = 78,530.50/x
  3. Step 3: Cross multiply
    145,042.84x = 217,626.63 × 78,530.50
  4. Step 4: Simplify right side
    145,042.84x = 17,090,328,067.22
  5. Step 5: Solve for x
    x = 17,090,328,067.22/145,042.84
  6. Step 6: Final answer
    x = 117,829.52

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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.