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Finding the Fourth Proportional to 284,051.93, 392,133.69 and 176,656.56

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Solution

The fourth proportional to 284,051.93, 392,133.69 and 176,656.56 is: 243,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.93 : 392,133.69 = 176,656.56 : x
  2. Step 2: Convert to fraction form
    284,051.93/392,133.69 = 176,656.56/x
  3. Step 3: Cross multiply
    284,051.93x = 392,133.69 × 176,656.56
  4. Step 4: Simplify right side
    284,051.93x = 69,272,988,735.51
  5. Step 5: Solve for x
    x = 69,272,988,735.51/284,051.93
  6. Step 6: Final answer
    x = 243,874.39

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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.