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Finding the Fourth Proportional to 152,033.05, 209,806.10 and 84,053.80

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Solution

The fourth proportional to 152,033.05, 209,806.10 and 84,053.80 is: 115,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,033.05 : 209,806.10 = 84,053.80 : x
  2. Step 2: Convert to fraction form
    152,033.05/209,806.10 = 84,053.80/x
  3. Step 3: Cross multiply
    152,033.05x = 209,806.10 × 84,053.80
  4. Step 4: Simplify right side
    152,033.05x = 17,634,999,968.18
  5. Step 5: Solve for x
    x = 17,634,999,968.18/152,033.05
  6. Step 6: Final answer
    x = 115,994.52

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1.5x scale

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.