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Finding the Fourth Proportional to 126,582.80, 174,688.80 and 75,617.60

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Solution

The fourth proportional to 126,582.80, 174,688.80 and 75,617.60 is: 104,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,582.80 : 174,688.80 = 75,617.60 : x
  2. Step 2: Convert to fraction form
    126,582.80/174,688.80 = 75,617.60/x
  3. Step 3: Cross multiply
    126,582.80x = 174,688.80 × 75,617.60
  4. Step 4: Simplify right side
    126,582.80x = 13,209,547,802.88
  5. Step 5: Solve for x
    x = 13,209,547,802.88/126,582.80
  6. Step 6: Final answer
    x = 104,355.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.