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Finding the Fourth Proportional to 224,024.82, 309,088.35 and 133,335.20

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Solution

The fourth proportional to 224,024.82, 309,088.35 and 133,335.20 is: 183,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,024.82 : 309,088.35 = 133,335.20 : x
  2. Step 2: Convert to fraction form
    224,024.82/309,088.35 = 133,335.20/x
  3. Step 3: Cross multiply
    224,024.82x = 309,088.35 × 133,335.20
  4. Step 4: Simplify right side
    224,024.82x = 41,212,355,419.48
  5. Step 5: Solve for x
    x = 41,212,355,419.48/224,024.82
  6. Step 6: Final answer
    x = 183,963.35

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