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Finding the Fourth Proportional to 102,001.90, 152,897.55 and 45,868.90

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Solution

The fourth proportional to 102,001.90, 152,897.55 and 45,868.90 is: 68,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,001.90 : 152,897.55 = 45,868.90 : x
  2. Step 2: Convert to fraction form
    102,001.90/152,897.55 = 45,868.90/x
  3. Step 3: Cross multiply
    102,001.90x = 152,897.55 × 45,868.90
  4. Step 4: Simplify right side
    102,001.90x = 7,013,242,431.20
  5. Step 5: Solve for x
    x = 7,013,242,431.20/102,001.90
  6. Step 6: Final answer
    x = 68,756.00

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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.