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Finding the Fourth Proportional to 213,206.64, 294,225.60 and 117,713.52

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Solution

The fourth proportional to 213,206.64, 294,225.60 and 117,713.52 is: 162,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,206.64 : 294,225.60 = 117,713.52 : x
  2. Step 2: Convert to fraction form
    213,206.64/294,225.60 = 117,713.52/x
  3. Step 3: Cross multiply
    213,206.64x = 294,225.60 × 117,713.52
  4. Step 4: Simplify right side
    213,206.64x = 34,634,331,050.11
  5. Step 5: Solve for x
    x = 34,634,331,050.11/213,206.64
  6. Step 6: Final answer
    x = 162,444.90

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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.