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Finding the Fourth Proportional to 210,451.80, 290,430.46 and 114,967.40

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Solution

The fourth proportional to 210,451.80, 290,430.46 and 114,967.40 is: 158,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,451.80 : 290,430.46 = 114,967.40 : x
  2. Step 2: Convert to fraction form
    210,451.80/290,430.46 = 114,967.40/x
  3. Step 3: Cross multiply
    210,451.80x = 290,430.46 × 114,967.40
  4. Step 4: Simplify right side
    210,451.80x = 33,390,034,867.00
  5. Step 5: Solve for x
    x = 33,390,034,867.00/210,451.80
  6. Step 6: Final answer
    x = 158,658.82

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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.