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Finding the Fourth Proportional to 238,798.43, 329,315.64 and 152,784.63

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Solution

The fourth proportional to 238,798.43, 329,315.64 and 152,784.63 is: 210,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,798.43 : 329,315.64 = 152,784.63 : x
  2. Step 2: Convert to fraction form
    238,798.43/329,315.64 = 152,784.63/x
  3. Step 3: Cross multiply
    238,798.43x = 329,315.64 × 152,784.63
  4. Step 4: Simplify right side
    238,798.43x = 50,314,366,564.04
  5. Step 5: Solve for x
    x = 50,314,366,564.04/238,798.43
  6. Step 6: Final answer
    x = 210,698.07

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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.