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Finding the Fourth Proportional to 127,009, 175,278.50 and 70,420.38

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Solution

The fourth proportional to 127,009, 175,278.50 and 70,420.38 is: 97,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,009 : 175,278.50 = 70,420.38 : x
  2. Step 2: Convert to fraction form
    127,009/175,278.50 = 70,420.38/x
  3. Step 3: Cross multiply
    127,009x = 175,278.50 × 70,420.38
  4. Step 4: Simplify right side
    127,009x = 12,343,178,575.83
  5. Step 5: Solve for x
    x = 12,343,178,575.83/127,009
  6. Step 6: Final answer
    x = 97,183.50

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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.