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Finding the Fourth Proportional to 302,458.75, 453,688.14 and 105,466.75

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Solution

The fourth proportional to 302,458.75, 453,688.14 and 105,466.75 is: 158,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,458.75 : 453,688.14 = 105,466.75 : x
  2. Step 2: Convert to fraction form
    302,458.75/453,688.14 = 105,466.75/x
  3. Step 3: Cross multiply
    302,458.75x = 453,688.14 × 105,466.75
  4. Step 4: Simplify right side
    302,458.75x = 47,849,013,639.35
  5. Step 5: Solve for x
    x = 47,849,013,639.35/302,458.75
  6. Step 6: Final answer
    x = 158,200.13

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1.5x scale

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.