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Finding the Fourth Proportional to 210,362.80, 290,312.48 and 114,878.40

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Solution

The fourth proportional to 210,362.80, 290,312.48 and 114,878.40 is: 158,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,362.80 : 290,312.48 = 114,878.40 : x
  2. Step 2: Convert to fraction form
    210,362.80/290,312.48 = 114,878.40/x
  3. Step 3: Cross multiply
    210,362.80x = 290,312.48 × 114,878.40
  4. Step 4: Simplify right side
    210,362.80x = 33,350,633,202.43
  5. Step 5: Solve for x
    x = 33,350,633,202.43/210,362.80
  6. Step 6: Final answer
    x = 158,538.64

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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.