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Finding the Fourth Proportional to 219,348, 302,700.29 and 118,746

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Solution

The fourth proportional to 219,348, 302,700.29 and 118,746 is: 163,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,348 : 302,700.29 = 118,746 : x
  2. Step 2: Convert to fraction form
    219,348/302,700.29 = 118,746/x
  3. Step 3: Cross multiply
    219,348x = 302,700.29 × 118,746
  4. Step 4: Simplify right side
    219,348x = 35,944,448,042.61
  5. Step 5: Solve for x
    x = 35,944,448,042.61/219,348
  6. Step 6: Final answer
    x = 163,869.50

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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.