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Finding the Fourth Proportional to 177,783, 266,674.50 and 46,455

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Solution

The fourth proportional to 177,783, 266,674.50 and 46,455 is: 69,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,783 : 266,674.50 = 46,455 : x
  2. Step 2: Convert to fraction form
    177,783/266,674.50 = 46,455/x
  3. Step 3: Cross multiply
    177,783x = 266,674.50 × 46,455
  4. Step 4: Simplify right side
    177,783x = 12,388,363,897.50
  5. Step 5: Solve for x
    x = 12,388,363,897.50/177,783
  6. Step 6: Final answer
    x = 69,682.50

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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.