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Finding the Fourth Proportional to 105,123.60, 157,685.40 and 49,827.60

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Solution

The fourth proportional to 105,123.60, 157,685.40 and 49,827.60 is: 74,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,123.60 : 157,685.40 = 49,827.60 : x
  2. Step 2: Convert to fraction form
    105,123.60/157,685.40 = 49,827.60/x
  3. Step 3: Cross multiply
    105,123.60x = 157,685.40 × 49,827.60
  4. Step 4: Simplify right side
    105,123.60x = 7,857,085,037.04
  5. Step 5: Solve for x
    x = 7,857,085,037.04/105,123.60
  6. Step 6: Final answer
    x = 74,741.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.