Finding the Fourth Proportional to 106,141,816.32, 159,206,735.84 and 47,037,174.24
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Solution
The fourth proportional to 106,141,816.32, 159,206,735.84 and 47,037,174.24 is: 70,553,107.47
Step by Step Solution
- Step 1: Write the proportion equation
106,141,816.32 : 159,206,735.84 = 47,037,174.24 : x - Step 2: Convert to fraction form
106,141,816.32/159,206,735.84 = 47,037,174.24/x - Step 3: Cross multiply
106,141,816.32x = 159,206,735.84 × 47,037,174.24 - Step 4: Simplify right side
106,141,816.32x = 7,488,634,973,887,733 - Step 5: Solve for x
x = 7,488,634,973,887,733/106,141,816.32 - Step 6: Final answer
x = 70,553,107.47
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.