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Finding the Fourth Proportional to 181,075.74, 249,733.58 and 135,853.98

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Solution

The fourth proportional to 181,075.74, 249,733.58 and 135,853.98 is: 187,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,075.74 : 249,733.58 = 135,853.98 : x
  2. Step 2: Convert to fraction form
    181,075.74/249,733.58 = 135,853.98/x
  3. Step 3: Cross multiply
    181,075.74x = 249,733.58 × 135,853.98
  4. Step 4: Simplify right side
    181,075.74x = 33,927,300,103.38
  5. Step 5: Solve for x
    x = 33,927,300,103.38/181,075.74
  6. Step 6: Final answer
    x = 187,365.24

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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.