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Finding the Fourth Proportional to 283,070.98, 424,610.12 and 83,345.95

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Solution

The fourth proportional to 283,070.98, 424,610.12 and 83,345.95 is: 125,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,070.98 : 424,610.12 = 83,345.95 : x
  2. Step 2: Convert to fraction form
    283,070.98/424,610.12 = 83,345.95/x
  3. Step 3: Cross multiply
    283,070.98x = 424,610.12 × 83,345.95
  4. Step 4: Simplify right side
    283,070.98x = 35,389,533,831.01
  5. Step 5: Solve for x
    x = 35,389,533,831.01/283,070.98
  6. Step 6: Final answer
    x = 125,020.00

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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.