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Finding the Fourth Proportional to 280,937.93, 421,210.04 and 103,421.84

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Solution

The fourth proportional to 280,937.93, 421,210.04 and 103,421.84 is: 155,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,937.93 : 421,210.04 = 103,421.84 : x
  2. Step 2: Convert to fraction form
    280,937.93/421,210.04 = 103,421.84/x
  3. Step 3: Cross multiply
    280,937.93x = 421,210.04 × 103,421.84
  4. Step 4: Simplify right side
    280,937.93x = 43,562,314,740.11
  5. Step 5: Solve for x
    x = 43,562,314,740.11/280,937.93
  6. Step 6: Final answer
    x = 155,060.29

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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.