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Finding the Fourth Proportional to 177,984, 245,645.40 and 101,503.26

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Solution

The fourth proportional to 177,984, 245,645.40 and 101,503.26 is: 140,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,984 : 245,645.40 = 101,503.26 : x
  2. Step 2: Convert to fraction form
    177,984/245,645.40 = 101,503.26/x
  3. Step 3: Cross multiply
    177,984x = 245,645.40 × 101,503.26
  4. Step 4: Simplify right side
    177,984x = 24,933,808,904.00
  5. Step 5: Solve for x
    x = 24,933,808,904.00/177,984
  6. Step 6: Final answer
    x = 140,090.17

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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.