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Finding the Fourth Proportional to 186,052.61, 256,731.22 and 105,464.09

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Solution

The fourth proportional to 186,052.61, 256,731.22 and 105,464.09 is: 145,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,052.61 : 256,731.22 = 105,464.09 : x
  2. Step 2: Convert to fraction form
    186,052.61/256,731.22 = 105,464.09/x
  3. Step 3: Cross multiply
    186,052.61x = 256,731.22 × 105,464.09
  4. Step 4: Simplify right side
    186,052.61x = 27,075,925,265.55
  5. Step 5: Solve for x
    x = 27,075,925,265.55/186,052.61
  6. Step 6: Final answer
    x = 145,528.33

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1.5x scale

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.