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Finding the Fourth Proportional to 106,276.64, 146,623.44 and 70,484

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Solution

The fourth proportional to 106,276.64, 146,623.44 and 70,484 is: 97,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,276.64 : 146,623.44 = 70,484 : x
  2. Step 2: Convert to fraction form
    106,276.64/146,623.44 = 70,484/x
  3. Step 3: Cross multiply
    106,276.64x = 146,623.44 × 70,484
  4. Step 4: Simplify right side
    106,276.64x = 10,334,606,544.96
  5. Step 5: Solve for x
    x = 10,334,606,544.96/106,276.64
  6. Step 6: Final answer
    x = 97,242.50

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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.