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Finding the Fourth Proportional to 97,762.80, 136,572 and 97,762.80

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Solution

The fourth proportional to 97,762.80, 136,572 and 97,762.80 is: 136,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,762.80 : 136,572 = 97,762.80 : x
  2. Step 2: Convert to fraction form
    97,762.80/136,572 = 97,762.80/x
  3. Step 3: Cross multiply
    97,762.80x = 136,572 × 97,762.80
  4. Step 4: Simplify right side
    97,762.80x = 13,351,661,121.60
  5. Step 5: Solve for x
    x = 13,351,661,121.60/97,762.80
  6. Step 6: Final answer
    x = 136,572

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.