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Finding the Fourth Proportional to 109,777.16, 151,484.54 and 64,457

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Solution

The fourth proportional to 109,777.16, 151,484.54 and 64,457 is: 88,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,777.16 : 151,484.54 = 64,457 : x
  2. Step 2: Convert to fraction form
    109,777.16/151,484.54 = 64,457/x
  3. Step 3: Cross multiply
    109,777.16x = 151,484.54 × 64,457
  4. Step 4: Simplify right side
    109,777.16x = 9,764,238,994.78
  5. Step 5: Solve for x
    x = 9,764,238,994.78/109,777.16
  6. Step 6: Final answer
    x = 88,946.00

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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.