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Finding the Fourth Proportional to 145,264.84, 217,941.02 and 51,758.44

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Solution

The fourth proportional to 145,264.84, 217,941.02 and 51,758.44 is: 77,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,264.84 : 217,941.02 = 51,758.44 : x
  2. Step 2: Convert to fraction form
    145,264.84/217,941.02 = 51,758.44/x
  3. Step 3: Cross multiply
    145,264.84x = 217,941.02 × 51,758.44
  4. Step 4: Simplify right side
    145,264.84x = 11,280,287,207.21
  5. Step 5: Solve for x
    x = 11,280,287,207.21/145,264.84
  6. Step 6: Final answer
    x = 77,653.25

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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.