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Finding the Fourth Proportional to 219,098.80, 328,421.40 and 119,047.60

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Solution

The fourth proportional to 219,098.80, 328,421.40 and 119,047.60 is: 178,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,098.80 : 328,421.40 = 119,047.60 : x
  2. Step 2: Convert to fraction form
    219,098.80/328,421.40 = 119,047.60/x
  3. Step 3: Cross multiply
    219,098.80x = 328,421.40 × 119,047.60
  4. Step 4: Simplify right side
    219,098.80x = 39,097,779,458.64
  5. Step 5: Solve for x
    x = 39,097,779,458.64/219,098.80
  6. Step 6: Final answer
    x = 178,448.17

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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.