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Finding the Fourth Proportional to 291,702.02, 402,548.22 and 157,566.02

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Solution

The fourth proportional to 291,702.02, 402,548.22 and 157,566.02 is: 217,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,702.02 : 402,548.22 = 157,566.02 : x
  2. Step 2: Convert to fraction form
    291,702.02/402,548.22 = 157,566.02/x
  3. Step 3: Cross multiply
    291,702.02x = 402,548.22 × 157,566.02
  4. Step 4: Simplify right side
    291,702.02x = 63,427,920,883.48
  5. Step 5: Solve for x
    x = 63,427,920,883.48/291,702.02
  6. Step 6: Final answer
    x = 217,440.80

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Why These Related Problems?

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