Finding the Fourth Proportional to 102,365,202, 153,547,803 and 34,207,893.75
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Solution
The fourth proportional to 102,365,202, 153,547,803 and 34,207,893.75 is: 51,311,840.63
Step by Step Solution
- Step 1: Write the proportion equation
102,365,202 : 153,547,803 = 34,207,893.75 : x - Step 2: Convert to fraction form
102,365,202/153,547,803 = 34,207,893.75/x - Step 3: Cross multiply
102,365,202x = 153,547,803 × 34,207,893.75 - Step 4: Simplify right side
102,365,202x = 5,252,546,930,569,931 - Step 5: Solve for x
x = 5,252,546,930,569,931/102,365,202 - Step 6: Final answer
x = 51,311,840.63
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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.