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Finding the Fourth Proportional to 282,710.36, 390,143.30 and 153,648.83

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Solution

The fourth proportional to 282,710.36, 390,143.30 and 153,648.83 is: 212,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,710.36 : 390,143.30 = 153,648.83 : x
  2. Step 2: Convert to fraction form
    282,710.36/390,143.30 = 153,648.83/x
  3. Step 3: Cross multiply
    282,710.36x = 390,143.30 × 153,648.83
  4. Step 4: Simplify right side
    282,710.36x = 59,945,058,858.38
  5. Step 5: Solve for x
    x = 59,945,058,858.38/282,710.36
  6. Step 6: Final answer
    x = 212,037.01

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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.