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Finding the Fourth Proportional to 255,075.40, 382,175.70 and 166,283.20

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Solution

The fourth proportional to 255,075.40, 382,175.70 and 166,283.20 is: 249,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,075.40 : 382,175.70 = 166,283.20 : x
  2. Step 2: Convert to fraction form
    255,075.40/382,175.70 = 166,283.20/x
  3. Step 3: Cross multiply
    255,075.40x = 382,175.70 × 166,283.20
  4. Step 4: Simplify right side
    255,075.40x = 63,549,398,358.24
  5. Step 5: Solve for x
    x = 63,549,398,358.24/255,075.40
  6. Step 6: Final answer
    x = 249,139.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.