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Finding the Fourth Proportional to 98,783.98, 148,026.30 and 65,384.38

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Solution

The fourth proportional to 98,783.98, 148,026.30 and 65,384.38 is: 97,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,783.98 : 148,026.30 = 65,384.38 : x
  2. Step 2: Convert to fraction form
    98,783.98/148,026.30 = 65,384.38/x
  3. Step 3: Cross multiply
    98,783.98x = 148,026.30 × 65,384.38
  4. Step 4: Simplify right side
    98,783.98x = 9,678,607,849.19
  5. Step 5: Solve for x
    x = 9,678,607,849.19/98,783.98
  6. Step 6: Final answer
    x = 97,977.50

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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.