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Finding the Fourth Proportional to 130,835.60, 196,051.80 and 97,398.80

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Solution

The fourth proportional to 130,835.60, 196,051.80 and 97,398.80 is: 145,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,835.60 : 196,051.80 = 97,398.80 : x
  2. Step 2: Convert to fraction form
    130,835.60/196,051.80 = 97,398.80/x
  3. Step 3: Cross multiply
    130,835.60x = 196,051.80 × 97,398.80
  4. Step 4: Simplify right side
    130,835.60x = 19,095,210,057.84
  5. Step 5: Solve for x
    x = 19,095,210,057.84/130,835.60
  6. Step 6: Final answer
    x = 145,948.12

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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.