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Finding the Fourth Proportional to 176,563, 243,656.94 and 97,075

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Solution

The fourth proportional to 176,563, 243,656.94 and 97,075 is: 133,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,563 : 243,656.94 = 97,075 : x
  2. Step 2: Convert to fraction form
    176,563/243,656.94 = 97,075/x
  3. Step 3: Cross multiply
    176,563x = 243,656.94 × 97,075
  4. Step 4: Simplify right side
    176,563x = 23,652,997,450.50
  5. Step 5: Solve for x
    x = 23,652,997,450.50/176,563
  6. Step 6: Final answer
    x = 133,963.50

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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.