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Finding the Fourth Proportional to 162,357.65, 224,056.10 and 90,742.31

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Solution

The fourth proportional to 162,357.65, 224,056.10 and 90,742.31 is: 125,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,357.65 : 224,056.10 = 90,742.31 : x
  2. Step 2: Convert to fraction form
    162,357.65/224,056.10 = 90,742.31/x
  3. Step 3: Cross multiply
    162,357.65x = 224,056.10 × 90,742.31
  4. Step 4: Simplify right side
    162,357.65x = 20,331,368,083.59
  5. Step 5: Solve for x
    x = 20,331,368,083.59/162,357.65
  6. Step 6: Final answer
    x = 125,225.81

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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.