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Finding the Fourth Proportional to 177,480, 266,220 and 46,152

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Solution

The fourth proportional to 177,480, 266,220 and 46,152 is: 69,228

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,480 : 266,220 = 46,152 : x
  2. Step 2: Convert to fraction form
    177,480/266,220 = 46,152/x
  3. Step 3: Cross multiply
    177,480x = 266,220 × 46,152
  4. Step 4: Simplify right side
    177,480x = 12,286,585,440
  5. Step 5: Solve for x
    x = 12,286,585,440/177,480
  6. Step 6: Final answer
    x = 69,228

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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.