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Finding the Fourth Proportional to 280,855.50, 387,580.62 and 153,532.02

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Solution

The fourth proportional to 280,855.50, 387,580.62 and 153,532.02 is: 211,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,855.50 : 387,580.62 = 153,532.02 : x
  2. Step 2: Convert to fraction form
    280,855.50/387,580.62 = 153,532.02/x
  3. Step 3: Cross multiply
    280,855.50x = 387,580.62 × 153,532.02
  4. Step 4: Simplify right side
    280,855.50x = 59,506,035,501.45
  5. Step 5: Solve for x
    x = 59,506,035,501.45/280,855.50
  6. Step 6: Final answer
    x = 211,874.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.