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Finding the Fourth Proportional to 249,299, 373,798.10 and 116,209.14

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Solution

The fourth proportional to 249,299, 373,798.10 and 116,209.14 is: 174,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,299 : 373,798.10 = 116,209.14 : x
  2. Step 2: Convert to fraction form
    249,299/373,798.10 = 116,209.14/x
  3. Step 3: Cross multiply
    249,299x = 373,798.10 × 116,209.14
  4. Step 4: Simplify right side
    249,299x = 43,438,755,734.63
  5. Step 5: Solve for x
    x = 43,438,755,734.63/249,299
  6. Step 6: Final answer
    x = 174,243.60

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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.