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Finding the Fourth Proportional to 97,225.80, 145,838.70 and 96,611.40

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Solution

The fourth proportional to 97,225.80, 145,838.70 and 96,611.40 is: 144,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,225.80 : 145,838.70 = 96,611.40 : x
  2. Step 2: Convert to fraction form
    97,225.80/145,838.70 = 96,611.40/x
  3. Step 3: Cross multiply
    97,225.80x = 145,838.70 × 96,611.40
  4. Step 4: Simplify right side
    97,225.80x = 14,089,680,981.18
  5. Step 5: Solve for x
    x = 14,089,680,981.18/97,225.80
  6. Step 6: Final answer
    x = 144,917.10

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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.