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Finding the Fourth Proportional to 136,636.70, 205,392.45 and 97,465.10

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Solution

The fourth proportional to 136,636.70, 205,392.45 and 97,465.10 is: 146,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,636.70 : 205,392.45 = 97,465.10 : x
  2. Step 2: Convert to fraction form
    136,636.70/205,392.45 = 97,465.10/x
  3. Step 3: Cross multiply
    136,636.70x = 205,392.45 × 97,465.10
  4. Step 4: Simplify right side
    136,636.70x = 20,018,595,678.50
  5. Step 5: Solve for x
    x = 20,018,595,678.50/136,636.70
  6. Step 6: Final answer
    x = 146,509.65

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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.