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Finding the Fourth Proportional to 177,728, 245,264.58 and 97,155.86

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Solution

The fourth proportional to 177,728, 245,264.58 and 97,155.86 is: 134,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,728 : 245,264.58 = 97,155.86 : x
  2. Step 2: Convert to fraction form
    177,728/245,264.58 = 97,155.86/x
  3. Step 3: Cross multiply
    177,728x = 245,264.58 × 97,155.86
  4. Step 4: Simplify right side
    177,728x = 23,828,891,197.44
  5. Step 5: Solve for x
    x = 23,828,891,197.44/177,728
  6. Step 6: Final answer
    x = 134,075.05

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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.