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Finding the Fourth Proportional to 130,700.64, 196,050 and 37,206.24

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Solution

The fourth proportional to 130,700.64, 196,050 and 37,206.24 is: 55,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,700.64 : 196,050 = 37,206.24 : x
  2. Step 2: Convert to fraction form
    130,700.64/196,050 = 37,206.24/x
  3. Step 3: Cross multiply
    130,700.64x = 196,050 × 37,206.24
  4. Step 4: Simplify right side
    130,700.64x = 7,294,283,352
  5. Step 5: Solve for x
    x = 7,294,283,352/130,700.64
  6. Step 6: Final answer
    x = 55,809.09

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