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Finding the Fourth Proportional to 145,642.10, 200,938.02 and 118,738.36

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Solution

The fourth proportional to 145,642.10, 200,938.02 and 118,738.36 is: 163,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,642.10 : 200,938.02 = 118,738.36 : x
  2. Step 2: Convert to fraction form
    145,642.10/200,938.02 = 118,738.36/x
  3. Step 3: Cross multiply
    145,642.10x = 200,938.02 × 118,738.36
  4. Step 4: Simplify right side
    145,642.10x = 23,859,050,956.45
  5. Step 5: Solve for x
    x = 23,859,050,956.45/145,642.10
  6. Step 6: Final answer
    x = 163,819.74

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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.