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Finding the Fourth Proportional to 117,778, 162,533.64 and 67,506.16

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Solution

The fourth proportional to 117,778, 162,533.64 and 67,506.16 is: 93,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,778 : 162,533.64 = 67,506.16 : x
  2. Step 2: Convert to fraction form
    117,778/162,533.64 = 67,506.16/x
  3. Step 3: Cross multiply
    117,778x = 162,533.64 × 67,506.16
  4. Step 4: Simplify right side
    117,778x = 10,972,021,907.22
  5. Step 5: Solve for x
    x = 10,972,021,907.22/117,778
  6. Step 6: Final answer
    x = 93,158.50

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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.