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Finding the Fourth Proportional to 213,019.34, 293,967.63 and 117,528.84

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Solution

The fourth proportional to 213,019.34, 293,967.63 and 117,528.84 is: 162,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,019.34 : 293,967.63 = 117,528.84 : x
  2. Step 2: Convert to fraction form
    213,019.34/293,967.63 = 117,528.84/x
  3. Step 3: Cross multiply
    213,019.34x = 293,967.63 × 117,528.84
  4. Step 4: Simplify right side
    213,019.34x = 34,549,674,551.45
  5. Step 5: Solve for x
    x = 34,549,674,551.45/213,019.34
  6. Step 6: Final answer
    x = 162,190.32

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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.