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Finding the Fourth Proportional to 186,051.72, 256,746 and 105,486.72

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Solution

The fourth proportional to 186,051.72, 256,746 and 105,486.72 is: 145,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,051.72 : 256,746 = 105,486.72 : x
  2. Step 2: Convert to fraction form
    186,051.72/256,746 = 105,486.72/x
  3. Step 3: Cross multiply
    186,051.72x = 256,746 × 105,486.72
  4. Step 4: Simplify right side
    186,051.72x = 27,083,293,413.12
  5. Step 5: Solve for x
    x = 27,083,293,413.12/186,051.72
  6. Step 6: Final answer
    x = 145,568.63

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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.