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Finding the Fourth Proportional to 176,641.40, 264,962.10 and 164,977.40

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Solution

The fourth proportional to 176,641.40, 264,962.10 and 164,977.40 is: 247,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,641.40 : 264,962.10 = 164,977.40 : x
  2. Step 2: Convert to fraction form
    176,641.40/264,962.10 = 164,977.40/x
  3. Step 3: Cross multiply
    176,641.40x = 264,962.10 × 164,977.40
  4. Step 4: Simplify right side
    176,641.40x = 43,712,758,356.54
  5. Step 5: Solve for x
    x = 43,712,758,356.54/176,641.40
  6. Step 6: Final answer
    x = 247,466.10

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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.