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Finding the Fourth Proportional to 277,113.16, 415,779.54 and 144,077.32

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Solution

The fourth proportional to 277,113.16, 415,779.54 and 144,077.32 is: 216,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,113.16 : 415,779.54 = 144,077.32 : x
  2. Step 2: Convert to fraction form
    277,113.16/415,779.54 = 144,077.32/x
  3. Step 3: Cross multiply
    277,113.16x = 415,779.54 × 144,077.32
  4. Step 4: Simplify right side
    277,113.16x = 59,904,401,834.03
  5. Step 5: Solve for x
    x = 59,904,401,834.03/277,113.16
  6. Step 6: Final answer
    x = 216,173.07

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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.