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Finding the Fourth Proportional to 213,348.84, 294,421.95 and 117,853.08

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Solution

The fourth proportional to 213,348.84, 294,421.95 and 117,853.08 is: 162,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,348.84 : 294,421.95 = 117,853.08 : x
  2. Step 2: Convert to fraction form
    213,348.84/294,421.95 = 117,853.08/x
  3. Step 3: Cross multiply
    213,348.84x = 294,421.95 × 117,853.08
  4. Step 4: Simplify right side
    213,348.84x = 34,698,533,627.11
  5. Step 5: Solve for x
    x = 34,698,533,627.11/213,348.84
  6. Step 6: Final answer
    x = 162,637.55

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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.