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Finding the Fourth Proportional to 282,852.66, 423,706.11 and 130,833.78

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Solution

The fourth proportional to 282,852.66, 423,706.11 and 130,833.78 is: 195,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,852.66 : 423,706.11 = 130,833.78 : x
  2. Step 2: Convert to fraction form
    282,852.66/423,706.11 = 130,833.78/x
  3. Step 3: Cross multiply
    282,852.66x = 423,706.11 × 130,833.78
  4. Step 4: Simplify right side
    282,852.66x = 55,435,071,980.40
  5. Step 5: Solve for x
    x = 55,435,071,980.40/282,852.66
  6. Step 6: Final answer
    x = 195,985.68

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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.