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Finding the Fourth Proportional to 105,762.09, 158,592.11 and 61,400.01

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Solution

The fourth proportional to 105,762.09, 158,592.11 and 61,400.01 is: 92,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762.09 : 158,592.11 = 61,400.01 : x
  2. Step 2: Convert to fraction form
    105,762.09/158,592.11 = 61,400.01/x
  3. Step 3: Cross multiply
    105,762.09x = 158,592.11 × 61,400.01
  4. Step 4: Simplify right side
    105,762.09x = 9,737,557,139.92
  5. Step 5: Solve for x
    x = 9,737,557,139.92/105,762.09
  6. Step 6: Final answer
    x = 92,070.39

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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.