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Finding the Fourth Proportional to 134,038.60, 200,885.10 and 102,718.60

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Solution

The fourth proportional to 134,038.60, 200,885.10 and 102,718.60 is: 153,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,038.60 : 200,885.10 = 102,718.60 : x
  2. Step 2: Convert to fraction form
    134,038.60/200,885.10 = 102,718.60/x
  3. Step 3: Cross multiply
    134,038.60x = 200,885.10 × 102,718.60
  4. Step 4: Simplify right side
    134,038.60x = 20,634,636,232.86
  5. Step 5: Solve for x
    x = 20,634,636,232.86/134,038.60
  6. Step 6: Final answer
    x = 153,945.48

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Why These Related Problems?

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