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Finding the Fourth Proportional to 210,217.50, 290,106.30 and 114,730.32

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Solution

The fourth proportional to 210,217.50, 290,106.30 and 114,730.32 is: 158,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,217.50 : 290,106.30 = 114,730.32 : x
  2. Step 2: Convert to fraction form
    210,217.50/290,106.30 = 114,730.32/x
  3. Step 3: Cross multiply
    210,217.50x = 290,106.30 × 114,730.32
  4. Step 4: Simplify right side
    210,217.50x = 33,283,988,633.02
  5. Step 5: Solve for x
    x = 33,283,988,633.02/210,217.50
  6. Step 6: Final answer
    x = 158,331.20

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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.