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Finding the Fourth Proportional to 277,322.31, 416,045.69 and 87,794.00

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Solution

The fourth proportional to 277,322.31, 416,045.69 and 87,794.00 is: 131,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,322.31 : 416,045.69 = 87,794.00 : x
  2. Step 2: Convert to fraction form
    277,322.31/416,045.69 = 87,794.00/x
  3. Step 3: Cross multiply
    277,322.31x = 416,045.69 × 87,794.00
  4. Step 4: Simplify right side
    277,322.31x = 36,526,316,095.11
  5. Step 5: Solve for x
    x = 36,526,316,095.11/277,322.31
  6. Step 6: Final answer
    x = 131,710.70

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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.