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Finding the Fourth Proportional to 284,237.24, 392,223.80 and 161,697.01

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Solution

The fourth proportional to 284,237.24, 392,223.80 and 161,697.01 is: 223,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,237.24 : 392,223.80 = 161,697.01 : x
  2. Step 2: Convert to fraction form
    284,237.24/392,223.80 = 161,697.01/x
  3. Step 3: Cross multiply
    284,237.24x = 392,223.80 × 161,697.01
  4. Step 4: Simplify right side
    284,237.24x = 63,421,415,869.94
  5. Step 5: Solve for x
    x = 63,421,415,869.94/284,237.24
  6. Step 6: Final answer
    x = 223,128.46

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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.