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Finding the Fourth Proportional to 282,866.64, 424,061.64 and 122,822.16

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Solution

The fourth proportional to 282,866.64, 424,061.64 and 122,822.16 is: 184,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,866.64 : 424,061.64 = 122,822.16 : x
  2. Step 2: Convert to fraction form
    282,866.64/424,061.64 = 122,822.16/x
  3. Step 3: Cross multiply
    282,866.64x = 424,061.64 × 122,822.16
  4. Step 4: Simplify right side
    282,866.64x = 52,084,166,597.94
  5. Step 5: Solve for x
    x = 52,084,166,597.94/282,866.64
  6. Step 6: Final answer
    x = 184,129.76

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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.