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Finding the Fourth Proportional to 277,075.90, 415,676.13 and 87,547.64

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Solution

The fourth proportional to 277,075.90, 415,676.13 and 87,547.64 is: 131,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,075.90 : 415,676.13 = 87,547.64 : x
  2. Step 2: Convert to fraction form
    277,075.90/415,676.13 = 87,547.64/x
  3. Step 3: Cross multiply
    277,075.90x = 415,676.13 × 87,547.64
  4. Step 4: Simplify right side
    277,075.90x = 36,391,463,530.91
  5. Step 5: Solve for x
    x = 36,391,463,530.91/277,075.90
  6. Step 6: Final answer
    x = 131,341.14

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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.