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Finding the Fourth Proportional to 355,762.80, 533,641.23 and 145,253.07

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Solution

The fourth proportional to 355,762.80, 533,641.23 and 145,253.07 is: 217,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,762.80 : 533,641.23 = 145,253.07 : x
  2. Step 2: Convert to fraction form
    355,762.80/533,641.23 = 145,253.07/x
  3. Step 3: Cross multiply
    355,762.80x = 533,641.23 × 145,253.07
  4. Step 4: Simplify right side
    355,762.80x = 77,513,026,936.08
  5. Step 5: Solve for x
    x = 77,513,026,936.08/355,762.80
  6. Step 6: Final answer
    x = 217,878.39

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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.