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Finding the Fourth Proportional to 177,554.12, 266,322.12 and 65,225.72

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Solution

The fourth proportional to 177,554.12, 266,322.12 and 65,225.72 is: 97,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,554.12 : 266,322.12 = 65,225.72 : x
  2. Step 2: Convert to fraction form
    177,554.12/266,322.12 = 65,225.72/x
  3. Step 3: Cross multiply
    177,554.12x = 266,322.12 × 65,225.72
  4. Step 4: Simplify right side
    177,554.12x = 17,371,052,028.93
  5. Step 5: Solve for x
    x = 17,371,052,028.93/177,554.12
  6. Step 6: Final answer
    x = 97,835.25

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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.