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Finding the Fourth Proportional to 282,043.96, 389,075.72 and 185,233.93

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Solution

The fourth proportional to 282,043.96, 389,075.72 and 185,233.93 is: 255,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,043.96 : 389,075.72 = 185,233.93 : x
  2. Step 2: Convert to fraction form
    282,043.96/389,075.72 = 185,233.93/x
  3. Step 3: Cross multiply
    282,043.96x = 389,075.72 × 185,233.93
  4. Step 4: Simplify right side
    282,043.96x = 72,070,024,683.18
  5. Step 5: Solve for x
    x = 72,070,024,683.18/282,043.96
  6. Step 6: Final answer
    x = 255,527.63

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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.