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Finding the Fourth Proportional to 177,804.50, 266,706.75 and 46,476.50

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Solution

The fourth proportional to 177,804.50, 266,706.75 and 46,476.50 is: 69,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,804.50 : 266,706.75 = 46,476.50 : x
  2. Step 2: Convert to fraction form
    177,804.50/266,706.75 = 46,476.50/x
  3. Step 3: Cross multiply
    177,804.50x = 266,706.75 × 46,476.50
  4. Step 4: Simplify right side
    177,804.50x = 12,395,596,266.38
  5. Step 5: Solve for x
    x = 12,395,596,266.38/177,804.50
  6. Step 6: Final answer
    x = 69,714.75

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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.