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Finding the Fourth Proportional to 134,307, 201,312.95 and 55,378.17

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Solution

The fourth proportional to 134,307, 201,312.95 and 55,378.17 is: 83,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,307 : 201,312.95 = 55,378.17 : x
  2. Step 2: Convert to fraction form
    134,307/201,312.95 = 55,378.17/x
  3. Step 3: Cross multiply
    134,307x = 201,312.95 × 55,378.17
  4. Step 4: Simplify right side
    134,307x = 11,148,342,491.41
  5. Step 5: Solve for x
    x = 11,148,342,491.41/134,307
  6. Step 6: Final answer
    x = 83,006.41

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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.