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Finding the Fourth Proportional to 177,433.84, 266,114.77 and 65,075.81

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Solution

The fourth proportional to 177,433.84, 266,114.77 and 65,075.81 is: 97,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,433.84 : 266,114.77 = 65,075.81 : x
  2. Step 2: Convert to fraction form
    177,433.84/266,114.77 = 65,075.81/x
  3. Step 3: Cross multiply
    177,433.84x = 266,114.77 × 65,075.81
  4. Step 4: Simplify right side
    177,433.84x = 17,317,632,717.45
  5. Step 5: Solve for x
    x = 17,317,632,717.45/177,433.84
  6. Step 6: Final answer
    x = 97,600.51

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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.