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Finding the Fourth Proportional to 102,046.65, 152,298.20 and 99,389.45

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Solution

The fourth proportional to 102,046.65, 152,298.20 and 99,389.45 is: 148,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,046.65 : 152,298.20 = 99,389.45 : x
  2. Step 2: Convert to fraction form
    102,046.65/152,298.20 = 99,389.45/x
  3. Step 3: Cross multiply
    102,046.65x = 152,298.20 × 99,389.45
  4. Step 4: Simplify right side
    102,046.65x = 15,136,833,075.55
  5. Step 5: Solve for x
    x = 15,136,833,075.55/102,046.65
  6. Step 6: Final answer
    x = 148,332.48

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.