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Finding the Fourth Proportional to 242,001.70, 363,075.45 and 172,017.70

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Solution

The fourth proportional to 242,001.70, 363,075.45 and 172,017.70 is: 258,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,001.70 : 363,075.45 = 172,017.70 : x
  2. Step 2: Convert to fraction form
    242,001.70/363,075.45 = 172,017.70/x
  3. Step 3: Cross multiply
    242,001.70x = 363,075.45 × 172,017.70
  4. Step 4: Simplify right side
    242,001.70x = 62,455,403,835.47
  5. Step 5: Solve for x
    x = 62,455,403,835.47/242,001.70
  6. Step 6: Final answer
    x = 258,078.37

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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.