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Finding the Fourth Proportional to 155,434.60, 233,151.90 and 105,538.60

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Solution

The fourth proportional to 155,434.60, 233,151.90 and 105,538.60 is: 158,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,434.60 : 233,151.90 = 105,538.60 : x
  2. Step 2: Convert to fraction form
    155,434.60/233,151.90 = 105,538.60/x
  3. Step 3: Cross multiply
    155,434.60x = 233,151.90 × 105,538.60
  4. Step 4: Simplify right side
    155,434.60x = 24,606,525,113.34
  5. Step 5: Solve for x
    x = 24,606,525,113.34/155,434.60
  6. Step 6: Final answer
    x = 158,307.90

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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.