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Finding the Fourth Proportional to 202,148.44, 278,970.42 and 111,510.52

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Solution

The fourth proportional to 202,148.44, 278,970.42 and 111,510.52 is: 153,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,148.44 : 278,970.42 = 111,510.52 : x
  2. Step 2: Convert to fraction form
    202,148.44/278,970.42 = 111,510.52/x
  3. Step 3: Cross multiply
    202,148.44x = 278,970.42 × 111,510.52
  4. Step 4: Simplify right side
    202,148.44x = 31,108,136,598.82
  5. Step 5: Solve for x
    x = 31,108,136,598.82/202,148.44
  6. Step 6: Final answer
    x = 153,887.59

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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.