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Finding the Fourth Proportional to 176,727.32, 243,803.34 and 105,066.68

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Solution

The fourth proportional to 176,727.32, 243,803.34 and 105,066.68 is: 144,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,727.32 : 243,803.34 = 105,066.68 : x
  2. Step 2: Convert to fraction form
    176,727.32/243,803.34 = 105,066.68/x
  3. Step 3: Cross multiply
    176,727.32x = 243,803.34 × 105,066.68
  4. Step 4: Simplify right side
    176,727.32x = 25,615,607,506.71
  5. Step 5: Solve for x
    x = 25,615,607,506.71/176,727.32
  6. Step 6: Final answer
    x = 144,944.24

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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.