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Finding the Fourth Proportional to 102,697.80, 153,973.80 and 46,564.80

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Solution

The fourth proportional to 102,697.80, 153,973.80 and 46,564.80 is: 69,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697.80 : 153,973.80 = 46,564.80 : x
  2. Step 2: Convert to fraction form
    102,697.80/153,973.80 = 46,564.80/x
  3. Step 3: Cross multiply
    102,697.80x = 153,973.80 × 46,564.80
  4. Step 4: Simplify right side
    102,697.80x = 7,169,759,202.24
  5. Step 5: Solve for x
    x = 7,169,759,202.24/102,697.80
  6. Step 6: Final answer
    x = 69,814.15

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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.