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Finding the Fourth Proportional to 105,602.66, 158,404.10 and 26,716.86

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Solution

The fourth proportional to 105,602.66, 158,404.10 and 26,716.86 is: 40,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602.66 : 158,404.10 = 26,716.86 : x
  2. Step 2: Convert to fraction form
    105,602.66/158,404.10 = 26,716.86/x
  3. Step 3: Cross multiply
    105,602.66x = 158,404.10 × 26,716.86
  4. Step 4: Simplify right side
    105,602.66x = 4,232,060,029.54
  5. Step 5: Solve for x
    x = 4,232,060,029.54/105,602.66
  6. Step 6: Final answer
    x = 40,075.32

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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.