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Finding the Fourth Proportional to 152,295.66, 210,168.27 and 83,384.10

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Solution

The fourth proportional to 152,295.66, 210,168.27 and 83,384.10 is: 115,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,295.66 : 210,168.27 = 83,384.10 : x
  2. Step 2: Convert to fraction form
    152,295.66/210,168.27 = 83,384.10/x
  3. Step 3: Cross multiply
    152,295.66x = 210,168.27 × 83,384.10
  4. Step 4: Simplify right side
    152,295.66x = 17,524,692,042.51
  5. Step 5: Solve for x
    x = 17,524,692,042.51/152,295.66
  6. Step 6: Final answer
    x = 115,070.20

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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.