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Finding the Fourth Proportional to 152,070.45, 209,838.90 and 84,078.24

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Solution

The fourth proportional to 152,070.45, 209,838.90 and 84,078.24 is: 116,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,070.45 : 209,838.90 = 84,078.24 : x
  2. Step 2: Convert to fraction form
    152,070.45/209,838.90 = 84,078.24/x
  3. Step 3: Cross multiply
    152,070.45x = 209,838.90 × 84,078.24
  4. Step 4: Simplify right side
    152,070.45x = 17,642,885,395.54
  5. Step 5: Solve for x
    x = 17,642,885,395.54/152,070.45
  6. Step 6: Final answer
    x = 116,017.84

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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.