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Finding the Fourth Proportional to 147,985.40, 221,978.10 and 64,879.40

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Solution

The fourth proportional to 147,985.40, 221,978.10 and 64,879.40 is: 97,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,985.40 : 221,978.10 = 64,879.40 : x
  2. Step 2: Convert to fraction form
    147,985.40/221,978.10 = 64,879.40/x
  3. Step 3: Cross multiply
    147,985.40x = 221,978.10 × 64,879.40
  4. Step 4: Simplify right side
    147,985.40x = 14,401,805,941.14
  5. Step 5: Solve for x
    x = 14,401,805,941.14/147,985.40
  6. Step 6: Final answer
    x = 97,319.10

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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.