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Finding the Fourth Proportional to 123,802.60, 185,693.10 and 40,696.60

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Solution

The fourth proportional to 123,802.60, 185,693.10 and 40,696.60 is: 61,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802.60 : 185,693.10 = 40,696.60 : x
  2. Step 2: Convert to fraction form
    123,802.60/185,693.10 = 40,696.60/x
  3. Step 3: Cross multiply
    123,802.60x = 185,693.10 × 40,696.60
  4. Step 4: Simplify right side
    123,802.60x = 7,557,077,813.46
  5. Step 5: Solve for x
    x = 7,557,077,813.46/123,802.60
  6. Step 6: Final answer
    x = 61,041.35

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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.