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Finding the Fourth Proportional to 219,547.50, 329,322.06 and 53,335.50

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Solution

The fourth proportional to 219,547.50, 329,322.06 and 53,335.50 is: 80,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,547.50 : 329,322.06 = 53,335.50 : x
  2. Step 2: Convert to fraction form
    219,547.50/329,322.06 = 53,335.50/x
  3. Step 3: Cross multiply
    219,547.50x = 329,322.06 × 53,335.50
  4. Step 4: Simplify right side
    219,547.50x = 17,564,556,731.13
  5. Step 5: Solve for x
    x = 17,564,556,731.13/219,547.50
  6. Step 6: Final answer
    x = 80,003.45

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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.