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Finding the Fourth Proportional to 78,107.51, 117,160.23 and 18,943.76

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Solution

The fourth proportional to 78,107.51, 117,160.23 and 18,943.76 is: 28,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.51 : 117,160.23 = 18,943.76 : x
  2. Step 2: Convert to fraction form
    78,107.51/117,160.23 = 18,943.76/x
  3. Step 3: Cross multiply
    78,107.51x = 117,160.23 × 18,943.76
  4. Step 4: Simplify right side
    78,107.51x = 2,219,455,278.66
  5. Step 5: Solve for x
    x = 2,219,455,278.66/78,107.51
  6. Step 6: Final answer
    x = 28,415.39

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1.5x scale

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.