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Finding the Fourth Proportional to 109,405.60, 164,108.40 and 97,655.20

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Solution

The fourth proportional to 109,405.60, 164,108.40 and 97,655.20 is: 146,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,405.60 : 164,108.40 = 97,655.20 : x
  2. Step 2: Convert to fraction form
    109,405.60/164,108.40 = 97,655.20/x
  3. Step 3: Cross multiply
    109,405.60x = 164,108.40 × 97,655.20
  4. Step 4: Simplify right side
    109,405.60x = 16,026,038,623.68
  5. Step 5: Solve for x
    x = 16,026,038,623.68/109,405.60
  6. Step 6: Final answer
    x = 146,482.80

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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.