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Finding the Fourth Proportional to 176,286.84, 243,308.70 and 100,835.16

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Solution

The fourth proportional to 176,286.84, 243,308.70 and 100,835.16 is: 139,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,286.84 : 243,308.70 = 100,835.16 : x
  2. Step 2: Convert to fraction form
    176,286.84/243,308.70 = 100,835.16/x
  3. Step 3: Cross multiply
    176,286.84x = 243,308.70 × 100,835.16
  4. Step 4: Simplify right side
    176,286.84x = 24,534,071,693.89
  5. Step 5: Solve for x
    x = 24,534,071,693.89/176,286.84
  6. Step 6: Final answer
    x = 139,171.32

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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.