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Finding the Fourth Proportional to 102,089.60, 140,875.44 and 59,643.44

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Solution

The fourth proportional to 102,089.60, 140,875.44 and 59,643.44 is: 82,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089.60 : 140,875.44 = 59,643.44 : x
  2. Step 2: Convert to fraction form
    102,089.60/140,875.44 = 59,643.44/x
  3. Step 3: Cross multiply
    102,089.60x = 140,875.44 × 59,643.44
  4. Step 4: Simplify right side
    102,089.60x = 8,402,295,853.11
  5. Step 5: Solve for x
    x = 8,402,295,853.11/102,089.60
  6. Step 6: Final answer
    x = 82,303.15

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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.