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Finding the Fourth Proportional to 260,030.16, 358,837.44 and 145,310.40

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Solution

The fourth proportional to 260,030.16, 358,837.44 and 145,310.40 is: 200,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,030.16 : 358,837.44 = 145,310.40 : x
  2. Step 2: Convert to fraction form
    260,030.16/358,837.44 = 145,310.40/x
  3. Step 3: Cross multiply
    260,030.16x = 358,837.44 × 145,310.40
  4. Step 4: Simplify right side
    260,030.16x = 52,142,811,941.38
  5. Step 5: Solve for x
    x = 52,142,811,941.38/260,030.16
  6. Step 6: Final answer
    x = 200,526.02

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Why These Related Problems?

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