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Finding the Fourth Proportional to 282,751.70, 390,187.47 and 155,426.38

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Solution

The fourth proportional to 282,751.70, 390,187.47 and 155,426.38 is: 214,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,751.70 : 390,187.47 = 155,426.38 : x
  2. Step 2: Convert to fraction form
    282,751.70/390,187.47 = 155,426.38/x
  3. Step 3: Cross multiply
    282,751.70x = 390,187.47 × 155,426.38
  4. Step 4: Simplify right side
    282,751.70x = 60,645,425,983.46
  5. Step 5: Solve for x
    x = 60,645,425,983.46/282,751.70
  6. Step 6: Final answer
    x = 214,482.98

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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.