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Finding the Fourth Proportional to 213,164.68, 294,167.98 and 117,671.16

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Solution

The fourth proportional to 213,164.68, 294,167.98 and 117,671.16 is: 162,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,164.68 : 294,167.98 = 117,671.16 : x
  2. Step 2: Convert to fraction form
    213,164.68/294,167.98 = 117,671.16/x
  3. Step 3: Cross multiply
    213,164.68x = 294,167.98 × 117,671.16
  4. Step 4: Simplify right side
    213,164.68x = 34,615,087,441.46
  5. Step 5: Solve for x
    x = 34,615,087,441.46/213,164.68
  6. Step 6: Final answer
    x = 162,386.60

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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.