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Finding the Fourth Proportional to 186,004.32, 256,706 and 105,423.18

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Solution

The fourth proportional to 186,004.32, 256,706 and 105,423.18 is: 145,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,004.32 : 256,706 = 105,423.18 : x
  2. Step 2: Convert to fraction form
    186,004.32/256,706 = 105,423.18/x
  3. Step 3: Cross multiply
    186,004.32x = 256,706 × 105,423.18
  4. Step 4: Simplify right side
    186,004.32x = 27,062,762,845.08
  5. Step 5: Solve for x
    x = 27,062,762,845.08/186,004.32
  6. Step 6: Final answer
    x = 145,495.35

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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.