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Finding the Fourth Proportional to 259,663.32, 358,352.10 and 146,483.64

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Solution

The fourth proportional to 259,663.32, 358,352.10 and 146,483.64 is: 202,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,663.32 : 358,352.10 = 146,483.64 : x
  2. Step 2: Convert to fraction form
    259,663.32/358,352.10 = 146,483.64/x
  3. Step 3: Cross multiply
    259,663.32x = 358,352.10 × 146,483.64
  4. Step 4: Simplify right side
    259,663.32x = 52,492,720,009.64
  5. Step 5: Solve for x
    x = 52,492,720,009.64/259,663.32
  6. Step 6: Final answer
    x = 202,156.85

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1.5x scale

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.