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Finding the Fourth Proportional to 102,504, 153,774.58 and 46,370.54

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Solution

The fourth proportional to 102,504, 153,774.58 and 46,370.54 is: 69,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504 : 153,774.58 = 46,370.54 : x
  2. Step 2: Convert to fraction form
    102,504/153,774.58 = 46,370.54/x
  3. Step 3: Cross multiply
    102,504x = 153,774.58 × 46,370.54
  4. Step 4: Simplify right side
    102,504x = 7,130,610,312.87
  5. Step 5: Solve for x
    x = 7,130,610,312.87/102,504
  6. Step 6: Final answer
    x = 69,564.22

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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.