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Finding the Fourth Proportional to 142,256.34, 213,430.10 and 99,606.20

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Solution

The fourth proportional to 142,256.34, 213,430.10 and 99,606.20 is: 149,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,256.34 : 213,430.10 = 99,606.20 : x
  2. Step 2: Convert to fraction form
    142,256.34/213,430.10 = 99,606.20/x
  3. Step 3: Cross multiply
    142,256.34x = 213,430.10 × 99,606.20
  4. Step 4: Simplify right side
    142,256.34x = 21,258,959,661.44
  5. Step 5: Solve for x
    x = 21,258,959,661.44/142,256.34
  6. Step 6: Final answer
    x = 149,441.21

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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.