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Finding the Fourth Proportional to 164,816.19, 227,483.48 and 96,855

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Solution

The fourth proportional to 164,816.19, 227,483.48 and 96,855 is: 133,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,816.19 : 227,483.48 = 96,855 : x
  2. Step 2: Convert to fraction form
    164,816.19/227,483.48 = 96,855/x
  3. Step 3: Cross multiply
    164,816.19x = 227,483.48 × 96,855
  4. Step 4: Simplify right side
    164,816.19x = 22,032,911,971.13
  5. Step 5: Solve for x
    x = 22,032,911,971.13/164,816.19
  6. Step 6: Final answer
    x = 133,681.72

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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.