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Finding the Fourth Proportional to 105,199.52, 157,877.64 and 77,191.94

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Solution

The fourth proportional to 105,199.52, 157,877.64 and 77,191.94 is: 115,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,199.52 : 157,877.64 = 77,191.94 : x
  2. Step 2: Convert to fraction form
    105,199.52/157,877.64 = 77,191.94/x
  3. Step 3: Cross multiply
    105,199.52x = 157,877.64 × 77,191.94
  4. Step 4: Simplify right side
    105,199.52x = 12,186,881,314.22
  5. Step 5: Solve for x
    x = 12,186,881,314.22/105,199.52
  6. Step 6: Final answer
    x = 115,845.41

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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.