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Finding the Fourth Proportional to 145,672.83, 201,084.93 and 113,851.98

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Solution

The fourth proportional to 145,672.83, 201,084.93 and 113,851.98 is: 157,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672.83 : 201,084.93 = 113,851.98 : x
  2. Step 2: Convert to fraction form
    145,672.83/201,084.93 = 113,851.98/x
  3. Step 3: Cross multiply
    145,672.83x = 201,084.93 × 113,851.98
  4. Step 4: Simplify right side
    145,672.83x = 22,893,917,428.66
  5. Step 5: Solve for x
    x = 22,893,917,428.66/145,672.83
  6. Step 6: Final answer
    x = 157,159.83

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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.