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Finding the Fourth Proportional to 111,804.14, 154,292.16 and 61,503.14

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Solution

The fourth proportional to 111,804.14, 154,292.16 and 61,503.14 is: 84,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,804.14 : 154,292.16 = 61,503.14 : x
  2. Step 2: Convert to fraction form
    111,804.14/154,292.16 = 61,503.14/x
  3. Step 3: Cross multiply
    111,804.14x = 154,292.16 × 61,503.14
  4. Step 4: Simplify right side
    111,804.14x = 9,489,452,317.38
  5. Step 5: Solve for x
    x = 9,489,452,317.38/111,804.14
  6. Step 6: Final answer
    x = 84,875.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.