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Finding the Fourth Proportional to 289,097.80, 433,646.70 and 164,681.80

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Solution

The fourth proportional to 289,097.80, 433,646.70 and 164,681.80 is: 247,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,097.80 : 433,646.70 = 164,681.80 : x
  2. Step 2: Convert to fraction form
    289,097.80/433,646.70 = 164,681.80/x
  3. Step 3: Cross multiply
    289,097.80x = 433,646.70 × 164,681.80
  4. Step 4: Simplify right side
    289,097.80x = 71,413,719,120.06
  5. Step 5: Solve for x
    x = 71,413,719,120.06/289,097.80
  6. Step 6: Final answer
    x = 247,022.70

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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.