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Finding the Fourth Proportional to 132,835.40, 199,253.10 and 97,411.40

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Solution

The fourth proportional to 132,835.40, 199,253.10 and 97,411.40 is: 146,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,835.40 : 199,253.10 = 97,411.40 : x
  2. Step 2: Convert to fraction form
    132,835.40/199,253.10 = 97,411.40/x
  3. Step 3: Cross multiply
    132,835.40x = 199,253.10 × 97,411.40
  4. Step 4: Simplify right side
    132,835.40x = 19,409,523,425.34
  5. Step 5: Solve for x
    x = 19,409,523,425.34/132,835.40
  6. Step 6: Final answer
    x = 146,117.10

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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.