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Finding the Fourth Proportional to 153,143.36, 229,712.16 and 83,466.08

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Solution

The fourth proportional to 153,143.36, 229,712.16 and 83,466.08 is: 125,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,143.36 : 229,712.16 = 83,466.08 : x
  2. Step 2: Convert to fraction form
    153,143.36/229,712.16 = 83,466.08/x
  3. Step 3: Cross multiply
    153,143.36x = 229,712.16 × 83,466.08
  4. Step 4: Simplify right side
    153,143.36x = 19,173,173,523.53
  5. Step 5: Solve for x
    x = 19,173,173,523.53/153,143.36
  6. Step 6: Final answer
    x = 125,197.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.