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Finding the Fourth Proportional to 152,946, 210,973.96 and 96,258.96

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Solution

The fourth proportional to 152,946, 210,973.96 and 96,258.96 is: 132,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,946 : 210,973.96 = 96,258.96 : x
  2. Step 2: Convert to fraction form
    152,946/210,973.96 = 96,258.96/x
  3. Step 3: Cross multiply
    152,946x = 210,973.96 × 96,258.96
  4. Step 4: Simplify right side
    152,946x = 20,308,133,976.68
  5. Step 5: Solve for x
    x = 20,308,133,976.68/152,946
  6. Step 6: Final answer
    x = 132,779.77

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1.5x scale

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.