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Finding the Fourth Proportional to 178,345, 267,455.58 and 51,951.16

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Solution

The fourth proportional to 178,345, 267,455.58 and 51,951.16 is: 77,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,345 : 267,455.58 = 51,951.16 : x
  2. Step 2: Convert to fraction form
    178,345/267,455.58 = 51,951.16/x
  3. Step 3: Cross multiply
    178,345x = 267,455.58 × 51,951.16
  4. Step 4: Simplify right side
    178,345x = 13,894,627,629.47
  5. Step 5: Solve for x
    x = 13,894,627,629.47/178,345
  6. Step 6: Final answer
    x = 77,908.70

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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.