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Finding the Fourth Proportional to 282,055.40, 423,083.10 and 95,047.40

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Solution

The fourth proportional to 282,055.40, 423,083.10 and 95,047.40 is: 142,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,055.40 : 423,083.10 = 95,047.40 : x
  2. Step 2: Convert to fraction form
    282,055.40/423,083.10 = 95,047.40/x
  3. Step 3: Cross multiply
    282,055.40x = 423,083.10 × 95,047.40
  4. Step 4: Simplify right side
    282,055.40x = 40,212,948,638.94
  5. Step 5: Solve for x
    x = 40,212,948,638.94/282,055.40
  6. Step 6: Final answer
    x = 142,571.10

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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.