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Finding the Fourth Proportional to 283,153.51, 424,877.73 and 114,798.25

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Solution

The fourth proportional to 283,153.51, 424,877.73 and 114,798.25 is: 172,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,153.51 : 424,877.73 = 114,798.25 : x
  2. Step 2: Convert to fraction form
    283,153.51/424,877.73 = 114,798.25/x
  3. Step 3: Cross multiply
    283,153.51x = 424,877.73 × 114,798.25
  4. Step 4: Simplify right side
    283,153.51x = 48,775,219,867.97
  5. Step 5: Solve for x
    x = 48,775,219,867.97/283,153.51
  6. Step 6: Final answer
    x = 172,257.16

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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.