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Finding the Fourth Proportional to 152,338.68, 210,224.81 and 84,354.18

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Solution

The fourth proportional to 152,338.68, 210,224.81 and 84,354.18 is: 116,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,338.68 : 210,224.81 = 84,354.18 : x
  2. Step 2: Convert to fraction form
    152,338.68/210,224.81 = 84,354.18/x
  3. Step 3: Cross multiply
    152,338.68x = 210,224.81 × 84,354.18
  4. Step 4: Simplify right side
    152,338.68x = 17,733,341,041.43
  5. Step 5: Solve for x
    x = 17,733,341,041.43/152,338.68
  6. Step 6: Final answer
    x = 116,407.34

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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.