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Finding the Fourth Proportional to 553,172.23, 829,805.34 and 153,813.00

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Solution

The fourth proportional to 553,172.23, 829,805.34 and 153,813.00 is: 230,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,172.23 : 829,805.34 = 153,813.00 : x
  2. Step 2: Convert to fraction form
    553,172.23/829,805.34 = 153,813.00/x
  3. Step 3: Cross multiply
    553,172.23x = 829,805.34 × 153,813.00
  4. Step 4: Simplify right side
    553,172.23x = 127,634,850,148.19
  5. Step 5: Solve for x
    x = 127,634,850,148.19/553,172.23
  6. Step 6: Final answer
    x = 230,732.57

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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.