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Finding the Fourth Proportional to 130,698.64, 196,047 and 37,204.24

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Solution

The fourth proportional to 130,698.64, 196,047 and 37,204.24 is: 55,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,698.64 : 196,047 = 37,204.24 : x
  2. Step 2: Convert to fraction form
    130,698.64/196,047 = 37,204.24/x
  3. Step 3: Cross multiply
    130,698.64x = 196,047 × 37,204.24
  4. Step 4: Simplify right side
    130,698.64x = 7,293,779,639.28
  5. Step 5: Solve for x
    x = 7,293,779,639.28/130,698.64
  6. Step 6: Final answer
    x = 55,806.09

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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.