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Finding the Fourth Proportional to 107,657.98, 162,498.18 and 107,657.98

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Solution

The fourth proportional to 107,657.98, 162,498.18 and 107,657.98 is: 162,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,657.98 : 162,498.18 = 107,657.98 : x
  2. Step 2: Convert to fraction form
    107,657.98/162,498.18 = 107,657.98/x
  3. Step 3: Cross multiply
    107,657.98x = 162,498.18 × 107,657.98
  4. Step 4: Simplify right side
    107,657.98x = 17,494,225,809.95
  5. Step 5: Solve for x
    x = 17,494,225,809.95/107,657.98
  6. Step 6: Final answer
    x = 162,498.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.