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Finding the Fourth Proportional to 213,663, 294,859.36 and 118,176.14

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Solution

The fourth proportional to 213,663, 294,859.36 and 118,176.14 is: 163,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,663 : 294,859.36 = 118,176.14 : x
  2. Step 2: Convert to fraction form
    213,663/294,859.36 = 118,176.14/x
  3. Step 3: Cross multiply
    213,663x = 294,859.36 × 118,176.14
  4. Step 4: Simplify right side
    213,663x = 34,845,341,007.67
  5. Step 5: Solve for x
    x = 34,845,341,007.67/213,663
  6. Step 6: Final answer
    x = 163,085.52

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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.