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Finding the Fourth Proportional to 164,066.10, 245,443.05 and 142,123.20

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Solution

The fourth proportional to 164,066.10, 245,443.05 and 142,123.20 is: 212,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,066.10 : 245,443.05 = 142,123.20 : x
  2. Step 2: Convert to fraction form
    164,066.10/245,443.05 = 142,123.20/x
  3. Step 3: Cross multiply
    164,066.10x = 245,443.05 × 142,123.20
  4. Step 4: Simplify right side
    164,066.10x = 34,883,151,683.76
  5. Step 5: Solve for x
    x = 34,883,151,683.76/164,066.10
  6. Step 6: Final answer
    x = 212,616.45

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