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Finding the Fourth Proportional to 249,138.48, 373,970.74 and 116,147

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Solution

The fourth proportional to 249,138.48, 373,970.74 and 116,147 is: 174,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,138.48 : 373,970.74 = 116,147 : x
  2. Step 2: Convert to fraction form
    249,138.48/373,970.74 = 116,147/x
  3. Step 3: Cross multiply
    249,138.48x = 373,970.74 × 116,147
  4. Step 4: Simplify right side
    249,138.48x = 43,435,579,538.78
  5. Step 5: Solve for x
    x = 43,435,579,538.78/249,138.48
  6. Step 6: Final answer
    x = 174,343.12

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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.