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Finding the Fourth Proportional to 102,155.40, 153,233.10 and 46,751.40

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Solution

The fourth proportional to 102,155.40, 153,233.10 and 46,751.40 is: 70,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,155.40 : 153,233.10 = 46,751.40 : x
  2. Step 2: Convert to fraction form
    102,155.40/153,233.10 = 46,751.40/x
  3. Step 3: Cross multiply
    102,155.40x = 153,233.10 × 46,751.40
  4. Step 4: Simplify right side
    102,155.40x = 7,163,861,951.34
  5. Step 5: Solve for x
    x = 7,163,861,951.34/102,155.40
  6. Step 6: Final answer
    x = 70,127.10

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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.