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Finding the Fourth Proportional to 130,669.60, 195,802.80 and 97,232.80

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Solution

The fourth proportional to 130,669.60, 195,802.80 and 97,232.80 is: 145,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,669.60 : 195,802.80 = 97,232.80 : x
  2. Step 2: Convert to fraction form
    130,669.60/195,802.80 = 97,232.80/x
  3. Step 3: Cross multiply
    130,669.60x = 195,802.80 × 97,232.80
  4. Step 4: Simplify right side
    130,669.60x = 19,038,454,491.84
  5. Step 5: Solve for x
    x = 19,038,454,491.84/130,669.60
  6. Step 6: Final answer
    x = 145,699.19

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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.