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Finding the Fourth Proportional to 130,563, 180,178.08 and 70,947

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Solution

The fourth proportional to 130,563, 180,178.08 and 70,947 is: 97,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,563 : 180,178.08 = 70,947 : x
  2. Step 2: Convert to fraction form
    130,563/180,178.08 = 70,947/x
  3. Step 3: Cross multiply
    130,563x = 180,178.08 × 70,947
  4. Step 4: Simplify right side
    130,563x = 12,783,094,241.76
  5. Step 5: Solve for x
    x = 12,783,094,241.76/130,563
  6. Step 6: Final answer
    x = 97,907.48

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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.