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Finding the Fourth Proportional to 277,386.61, 416,098.55 and 97,450.16

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Solution

The fourth proportional to 277,386.61, 416,098.55 and 97,450.16 is: 146,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,386.61 : 416,098.55 = 97,450.16 : x
  2. Step 2: Convert to fraction form
    277,386.61/416,098.55 = 97,450.16/x
  3. Step 3: Cross multiply
    277,386.61x = 416,098.55 × 97,450.16
  4. Step 4: Simplify right side
    277,386.61x = 40,548,868,436.40
  5. Step 5: Solve for x
    x = 40,548,868,436.40/277,386.61
  6. Step 6: Final answer
    x = 146,181.78

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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.