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Finding the Fourth Proportional to 212,030.40, 318,045.60 and 107,054.40

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Solution

The fourth proportional to 212,030.40, 318,045.60 and 107,054.40 is: 160,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,030.40 : 318,045.60 = 107,054.40 : x
  2. Step 2: Convert to fraction form
    212,030.40/318,045.60 = 107,054.40/x
  3. Step 3: Cross multiply
    212,030.40x = 318,045.60 × 107,054.40
  4. Step 4: Simplify right side
    212,030.40x = 34,048,180,880.64
  5. Step 5: Solve for x
    x = 34,048,180,880.64/212,030.40
  6. Step 6: Final answer
    x = 160,581.60

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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.