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Finding the Fourth Proportional to 106,271.80, 146,656.02 and 58,526.80

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Solution

The fourth proportional to 106,271.80, 146,656.02 and 58,526.80 is: 80,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,271.80 : 146,656.02 = 58,526.80 : x
  2. Step 2: Convert to fraction form
    106,271.80/146,656.02 = 58,526.80/x
  3. Step 3: Cross multiply
    106,271.80x = 146,656.02 × 58,526.80
  4. Step 4: Simplify right side
    106,271.80x = 8,583,307,551.34
  5. Step 5: Solve for x
    x = 8,583,307,551.34/106,271.80
  6. Step 6: Final answer
    x = 80,767.50

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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.