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Finding the Fourth Proportional to 78,199.92, 107,830.26 and 58,094.10

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Solution

The fourth proportional to 78,199.92, 107,830.26 and 58,094.10 is: 80,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,199.92 : 107,830.26 = 58,094.10 : x
  2. Step 2: Convert to fraction form
    78,199.92/107,830.26 = 58,094.10/x
  3. Step 3: Cross multiply
    78,199.92x = 107,830.26 × 58,094.10
  4. Step 4: Simplify right side
    78,199.92x = 6,264,301,907.47
  5. Step 5: Solve for x
    x = 6,264,301,907.47/78,199.92
  6. Step 6: Final answer
    x = 80,106.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.