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Finding the Fourth Proportional to 154,048.30, 212,472.93 and 97,405

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Solution

The fourth proportional to 154,048.30, 212,472.93 and 97,405 is: 134,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,048.30 : 212,472.93 = 97,405 : x
  2. Step 2: Convert to fraction form
    154,048.30/212,472.93 = 97,405/x
  3. Step 3: Cross multiply
    154,048.30x = 212,472.93 × 97,405
  4. Step 4: Simplify right side
    154,048.30x = 20,695,925,746.65
  5. Step 5: Solve for x
    x = 20,695,925,746.65/154,048.30
  6. Step 6: Final answer
    x = 134,346.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.