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Finding the Fourth Proportional to 265,799.37, 398,582.01 and 97,275.90

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Solution

The fourth proportional to 265,799.37, 398,582.01 and 97,275.90 is: 145,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,799.37 : 398,582.01 = 97,275.90 : x
  2. Step 2: Convert to fraction form
    265,799.37/398,582.01 = 97,275.90/x
  3. Step 3: Cross multiply
    265,799.37x = 398,582.01 × 97,275.90
  4. Step 4: Simplify right side
    265,799.37x = 38,772,423,746.56
  5. Step 5: Solve for x
    x = 38,772,423,746.56/265,799.37
  6. Step 6: Final answer
    x = 145,871.01

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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.