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Finding the Fourth Proportional to 117,712, 162,442.56 and 64,720

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Solution

The fourth proportional to 117,712, 162,442.56 and 64,720 is: 89,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,712 : 162,442.56 = 64,720 : x
  2. Step 2: Convert to fraction form
    117,712/162,442.56 = 64,720/x
  3. Step 3: Cross multiply
    117,712x = 162,442.56 × 64,720
  4. Step 4: Simplify right side
    117,712x = 10,513,282,483.20
  5. Step 5: Solve for x
    x = 10,513,282,483.20/117,712
  6. Step 6: Final answer
    x = 89,313.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.