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Finding the Fourth Proportional to 152,031.60, 209,802.20 and 84,052.80

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Solution

The fourth proportional to 152,031.60, 209,802.20 and 84,052.80 is: 115,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,031.60 : 209,802.20 = 84,052.80 : x
  2. Step 2: Convert to fraction form
    152,031.60/209,802.20 = 84,052.80/x
  3. Step 3: Cross multiply
    152,031.60x = 209,802.20 × 84,052.80
  4. Step 4: Simplify right side
    152,031.60x = 17,634,462,356.16
  5. Step 5: Solve for x
    x = 17,634,462,356.16/152,031.60
  6. Step 6: Final answer
    x = 115,992.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.