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Finding the Fourth Proportional to 213,275.76, 294,322.01 and 116,477.18

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Solution

The fourth proportional to 213,275.76, 294,322.01 and 116,477.18 is: 160,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,275.76 : 294,322.01 = 116,477.18 : x
  2. Step 2: Convert to fraction form
    213,275.76/294,322.01 = 116,477.18/x
  3. Step 3: Cross multiply
    213,275.76x = 294,322.01 × 116,477.18
  4. Step 4: Simplify right side
    213,275.76x = 34,281,795,682.74
  5. Step 5: Solve for x
    x = 34,281,795,682.74/213,275.76
  6. Step 6: Final answer
    x = 160,739.30

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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.