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Finding the Fourth Proportional to 188,948, 260,444.36 and 127,675.08

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Solution

The fourth proportional to 188,948, 260,444.36 and 127,675.08 is: 175,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,948 : 260,444.36 = 127,675.08 : x
  2. Step 2: Convert to fraction form
    188,948/260,444.36 = 127,675.08/x
  3. Step 3: Cross multiply
    188,948x = 260,444.36 × 127,675.08
  4. Step 4: Simplify right side
    188,948x = 33,252,254,498.55
  5. Step 5: Solve for x
    x = 33,252,254,498.55/188,948
  6. Step 6: Final answer
    x = 175,986.27

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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.