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Finding the Fourth Proportional to 102,070.71, 140,848.02 and 59,043.33

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Solution

The fourth proportional to 102,070.71, 140,848.02 and 59,043.33 is: 81,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,070.71 : 140,848.02 = 59,043.33 : x
  2. Step 2: Convert to fraction form
    102,070.71/140,848.02 = 59,043.33/x
  3. Step 3: Cross multiply
    102,070.71x = 140,848.02 × 59,043.33
  4. Step 4: Simplify right side
    102,070.71x = 8,316,136,124.71
  5. Step 5: Solve for x
    x = 8,316,136,124.71/102,070.71
  6. Step 6: Final answer
    x = 81,474.27

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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.