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Finding the Fourth Proportional to 118,176, 177,264 and 35,070

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Solution

The fourth proportional to 118,176, 177,264 and 35,070 is: 52,605

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,176 : 177,264 = 35,070 : x
  2. Step 2: Convert to fraction form
    118,176/177,264 = 35,070/x
  3. Step 3: Cross multiply
    118,176x = 177,264 × 35,070
  4. Step 4: Simplify right side
    118,176x = 6,216,648,480
  5. Step 5: Solve for x
    x = 6,216,648,480/118,176
  6. Step 6: Final answer
    x = 52,605

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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.