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Finding the Fourth Proportional to 249,256.50, 343,962.01 and 141,816.48

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Solution

The fourth proportional to 249,256.50, 343,962.01 and 141,816.48 is: 195,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,256.50 : 343,962.01 = 141,816.48 : x
  2. Step 2: Convert to fraction form
    249,256.50/343,962.01 = 141,816.48/x
  3. Step 3: Cross multiply
    249,256.50x = 343,962.01 × 141,816.48
  4. Step 4: Simplify right side
    249,256.50x = 48,779,481,511.92
  5. Step 5: Solve for x
    x = 48,779,481,511.92/249,256.50
  6. Step 6: Final answer
    x = 195,699.94

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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.