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Finding the Fourth Proportional to 282,765.40, 390,206.38 and 155,440.08

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Solution

The fourth proportional to 282,765.40, 390,206.38 and 155,440.08 is: 214,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,765.40 : 390,206.38 = 155,440.08 : x
  2. Step 2: Convert to fraction form
    282,765.40/390,206.38 = 155,440.08/x
  3. Step 3: Cross multiply
    282,765.40x = 390,206.38 × 155,440.08
  4. Step 4: Simplify right side
    282,765.40x = 60,653,710,923.71
  5. Step 5: Solve for x
    x = 60,653,710,923.71/282,765.40
  6. Step 6: Final answer
    x = 214,501.88

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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.