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Finding the Fourth Proportional to 163,434.47, 225,448.56 and 151,875

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Solution

The fourth proportional to 163,434.47, 225,448.56 and 151,875 is: 209,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,434.47 : 225,448.56 = 151,875 : x
  2. Step 2: Convert to fraction form
    163,434.47/225,448.56 = 151,875/x
  3. Step 3: Cross multiply
    163,434.47x = 225,448.56 × 151,875
  4. Step 4: Simplify right side
    163,434.47x = 34,240,000,050
  5. Step 5: Solve for x
    x = 34,240,000,050/163,434.47
  6. Step 6: Final answer
    x = 209,502.93

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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.