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Finding the Fourth Proportional to 560,850, 841,276.80 and 140,125.92

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Solution

The fourth proportional to 560,850, 841,276.80 and 140,125.92 is: 210,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,850 : 841,276.80 = 140,125.92 : x
  2. Step 2: Convert to fraction form
    560,850/841,276.80 = 140,125.92/x
  3. Step 3: Cross multiply
    560,850x = 841,276.80 × 140,125.92
  4. Step 4: Simplify right side
    560,850x = 117,884,685,574.66
  5. Step 5: Solve for x
    x = 117,884,685,574.66/560,850
  6. Step 6: Final answer
    x = 210,189.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.