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Finding the Fourth Proportional to 282,884.64, 424,088.64 and 122,840.16

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Solution

The fourth proportional to 282,884.64, 424,088.64 and 122,840.16 is: 184,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,884.64 : 424,088.64 = 122,840.16 : x
  2. Step 2: Convert to fraction form
    282,884.64/424,088.64 = 122,840.16/x
  3. Step 3: Cross multiply
    282,884.64x = 424,088.64 × 122,840.16
  4. Step 4: Simplify right side
    282,884.64x = 52,095,116,391.78
  5. Step 5: Solve for x
    x = 52,095,116,391.78/282,884.64
  6. Step 6: Final answer
    x = 184,156.75

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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.