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Finding the Fourth Proportional to 270,216, 372,898.08 and 150,984

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Solution

The fourth proportional to 270,216, 372,898.08 and 150,984 is: 208,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,216 : 372,898.08 = 150,984 : x
  2. Step 2: Convert to fraction form
    270,216/372,898.08 = 150,984/x
  3. Step 3: Cross multiply
    270,216x = 372,898.08 × 150,984
  4. Step 4: Simplify right side
    270,216x = 56,301,643,710.72
  5. Step 5: Solve for x
    x = 56,301,643,710.72/270,216
  6. Step 6: Final answer
    x = 208,357.92

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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.