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Finding the Fourth Proportional to 102,124.22, 153,166.04 and 97,060.82

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Solution

The fourth proportional to 102,124.22, 153,166.04 and 97,060.82 is: 145,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124.22 : 153,166.04 = 97,060.82 : x
  2. Step 2: Convert to fraction form
    102,124.22/153,166.04 = 97,060.82/x
  3. Step 3: Cross multiply
    102,124.22x = 153,166.04 × 97,060.82
  4. Step 4: Simplify right side
    102,124.22x = 14,866,421,438.55
  5. Step 5: Solve for x
    x = 14,866,421,438.55/102,124.22
  6. Step 6: Final answer
    x = 145,571.95

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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.