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Finding the Fourth Proportional to 157,313.32, 216,920.10 and 142,383.40

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Solution

The fourth proportional to 157,313.32, 216,920.10 and 142,383.40 is: 196,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,313.32 : 216,920.10 = 142,383.40 : x
  2. Step 2: Convert to fraction form
    157,313.32/216,920.10 = 142,383.40/x
  3. Step 3: Cross multiply
    157,313.32x = 216,920.10 × 142,383.40
  4. Step 4: Simplify right side
    157,313.32x = 30,885,821,366.34
  5. Step 5: Solve for x
    x = 30,885,821,366.34/157,313.32
  6. Step 6: Final answer
    x = 196,333.16

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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.