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Finding the Fourth Proportional to 185,898.47, 256,543.67 and 101,021.00

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Solution

The fourth proportional to 185,898.47, 256,543.67 and 101,021.00 is: 139,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,898.47 : 256,543.67 = 101,021.00 : x
  2. Step 2: Convert to fraction form
    185,898.47/256,543.67 = 101,021.00/x
  3. Step 3: Cross multiply
    185,898.47x = 256,543.67 × 101,021.00
  4. Step 4: Simplify right side
    185,898.47x = 25,916,297,056.90
  5. Step 5: Solve for x
    x = 25,916,297,056.90/185,898.47
  6. Step 6: Final answer
    x = 139,411.03

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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.