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Finding the Fourth Proportional to 152,790.54, 210,847.93 and 84,808.32

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Solution

The fourth proportional to 152,790.54, 210,847.93 and 84,808.32 is: 117,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,790.54 : 210,847.93 = 84,808.32 : x
  2. Step 2: Convert to fraction form
    152,790.54/210,847.93 = 84,808.32/x
  3. Step 3: Cross multiply
    152,790.54x = 210,847.93 × 84,808.32
  4. Step 4: Simplify right side
    152,790.54x = 17,881,657,716.08
  5. Step 5: Solve for x
    x = 17,881,657,716.08/152,790.54
  6. Step 6: Final answer
    x = 117,033.80

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Why These Related Problems?

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