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Finding the Fourth Proportional to 185,614.84, 256,133.10 and 105,038.20

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Solution

The fourth proportional to 185,614.84, 256,133.10 and 105,038.20 is: 144,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,614.84 : 256,133.10 = 105,038.20 : x
  2. Step 2: Convert to fraction form
    185,614.84/256,133.10 = 105,038.20/x
  3. Step 3: Cross multiply
    185,614.84x = 256,133.10 × 105,038.20
  4. Step 4: Simplify right side
    185,614.84x = 26,903,759,784.42
  5. Step 5: Solve for x
    x = 26,903,759,784.42/185,614.84
  6. Step 6: Final answer
    x = 144,944.01

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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.