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Finding the Fourth Proportional to 213,562.42, 294,722.28 and 118,075.25

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Solution

The fourth proportional to 213,562.42, 294,722.28 and 118,075.25 is: 162,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,562.42 : 294,722.28 = 118,075.25 : x
  2. Step 2: Convert to fraction form
    213,562.42/294,722.28 = 118,075.25/x
  3. Step 3: Cross multiply
    213,562.42x = 294,722.28 × 118,075.25
  4. Step 4: Simplify right side
    213,562.42x = 34,799,407,628.38
  5. Step 5: Solve for x
    x = 34,799,407,628.38/213,562.42
  6. Step 6: Final answer
    x = 162,947.25

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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.