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Finding the Fourth Proportional to 308,117.20, 462,564.60 and 166,075.60

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Solution

The fourth proportional to 308,117.20, 462,564.60 and 166,075.60 is: 249,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,117.20 : 462,564.60 = 166,075.60 : x
  2. Step 2: Convert to fraction form
    308,117.20/462,564.60 = 166,075.60/x
  3. Step 3: Cross multiply
    308,117.20x = 462,564.60 × 166,075.60
  4. Step 4: Simplify right side
    308,117.20x = 76,820,693,483.76
  5. Step 5: Solve for x
    x = 76,820,693,483.76/308,117.20
  6. Step 6: Final answer
    x = 249,322.96

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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.