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Finding the Fourth Proportional to 364,070.30, 546,104.99 and 97,830.82

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Solution

The fourth proportional to 364,070.30, 546,104.99 and 97,830.82 is: 146,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,070.30 : 546,104.99 = 97,830.82 : x
  2. Step 2: Convert to fraction form
    364,070.30/546,104.99 = 97,830.82/x
  3. Step 3: Cross multiply
    364,070.30x = 546,104.99 × 97,830.82
  4. Step 4: Simplify right side
    364,070.30x = 53,425,899,866.68
  5. Step 5: Solve for x
    x = 53,425,899,866.68/364,070.30
  6. Step 6: Final answer
    x = 146,746.11

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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.