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Finding the Fourth Proportional to 213,153.16, 294,130.38 and 117,653.68

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Solution

The fourth proportional to 213,153.16, 294,130.38 and 117,653.68 is: 162,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,153.16 : 294,130.38 = 117,653.68 : x
  2. Step 2: Convert to fraction form
    213,153.16/294,130.38 = 117,653.68/x
  3. Step 3: Cross multiply
    213,153.16x = 294,130.38 × 117,653.68
  4. Step 4: Simplify right side
    213,153.16x = 34,605,521,606.80
  5. Step 5: Solve for x
    x = 34,605,521,606.80/213,153.16
  6. Step 6: Final answer
    x = 162,350.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.