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Finding the Fourth Proportional to 152,280.47, 210,143.96 and 84,297.48

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Solution

The fourth proportional to 152,280.47, 210,143.96 and 84,297.48 is: 116,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,280.47 : 210,143.96 = 84,297.48 : x
  2. Step 2: Convert to fraction form
    152,280.47/210,143.96 = 84,297.48/x
  3. Step 3: Cross multiply
    152,280.47x = 210,143.96 × 84,297.48
  4. Step 4: Simplify right side
    152,280.47x = 17,714,605,843.73
  5. Step 5: Solve for x
    x = 17,714,605,843.73/152,280.47
  6. Step 6: Final answer
    x = 116,328.81

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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.