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Finding the Fourth Proportional to 152,116.70, 228,207.45 and 46,946.30

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Solution

The fourth proportional to 152,116.70, 228,207.45 and 46,946.30 is: 70,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,116.70 : 228,207.45 = 46,946.30 : x
  2. Step 2: Convert to fraction form
    152,116.70/228,207.45 = 46,946.30/x
  3. Step 3: Cross multiply
    152,116.70x = 228,207.45 × 46,946.30
  4. Step 4: Simplify right side
    152,116.70x = 10,713,495,409.94
  5. Step 5: Solve for x
    x = 10,713,495,409.94/152,116.70
  6. Step 6: Final answer
    x = 70,429.45

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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.