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Finding the Fourth Proportional to 152,296.50, 210,140 and 98,574.06

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Solution

The fourth proportional to 152,296.50, 210,140 and 98,574.06 is: 136,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,296.50 : 210,140 = 98,574.06 : x
  2. Step 2: Convert to fraction form
    152,296.50/210,140 = 98,574.06/x
  3. Step 3: Cross multiply
    152,296.50x = 210,140 × 98,574.06
  4. Step 4: Simplify right side
    152,296.50x = 20,714,352,968.40
  5. Step 5: Solve for x
    x = 20,714,352,968.40/152,296.50
  6. Step 6: Final answer
    x = 136,013.32

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