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Finding the Fourth Proportional to 287,352.50, 431,048.18 and 109,878.26

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Solution

The fourth proportional to 287,352.50, 431,048.18 and 109,878.26 is: 164,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,352.50 : 431,048.18 = 109,878.26 : x
  2. Step 2: Convert to fraction form
    287,352.50/431,048.18 = 109,878.26/x
  3. Step 3: Cross multiply
    287,352.50x = 431,048.18 × 109,878.26
  4. Step 4: Simplify right side
    287,352.50x = 47,362,822,114.02
  5. Step 5: Solve for x
    x = 47,362,822,114.02/287,352.50
  6. Step 6: Final answer
    x = 164,824.82

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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.